Atkin-Lehner |
2- 3- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550db |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
1535682678222656250 = 2 · 34 · 519 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 3 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-291813,11225367] |
[a1,a2,a3,a4,a6] |
Generators |
[-33078:1579039:216] |
Generators of the group modulo torsion |
j |
175880497476668041/98283691406250 |
j-invariant |
L |
11.812705790761 |
L(r)(E,1)/r! |
Ω |
0.23176531432073 |
Real period |
R |
3.1855246070194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001359 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910l1 |
Quadratic twists by: 5 |