Atkin-Lehner |
3+ 5+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
98475c |
Isogeny class |
Conductor |
98475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52254720 |
Modular degree for the optimal curve |
Δ |
-2.1447332074974E+22 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -2 13+ 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6041905968,-180765316180134] |
[a1,a2,a3,a4,a6] |
Generators |
[2872202657958196818016964077679789041854188537206969251730887708394552729730834323575402925591156039570:541467654400670414293788763513469085186500737408213751624867904307567780264219859182453335223213195119854:26708121847073032002003607722506040362064533458293355661558776462547375376426849424072268168636125] |
Generators of the group modulo torsion |
j |
-975675925996313581680891608063785/857893282998963291873 |
j-invariant |
L |
2.6336681457255 |
L(r)(E,1)/r! |
Ω |
0.0085620166591453 |
Real period |
R |
153.79952238895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98475r1 |
Quadratic twists by: 5 |