Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490bd |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
93531684469860 = 22 · 32 · 5 · 72 · 139 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-347299,78747242] |
[a1,a2,a3,a4,a6] |
Generators |
[105:6538:1] |
Generators of the group modulo torsion |
j |
959781554388721/19377540 |
j-invariant |
L |
4.6359998041117 |
L(r)(E,1)/r! |
Ω |
0.55457629073763 |
Real period |
R |
1.0449418505489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470ft1 2730bb1 |
Quadratic twists by: -3 13 |