Atkin-Lehner |
3- 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
65415l |
Isogeny class |
Conductor |
65415 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
577920 |
Modular degree for the optimal curve |
Δ |
77922094516875 = 35 · 54 · 78 · 89 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 3 -2 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-460356,120184245] |
[a1,a2,a3,a4,a6] |
Generators |
[-780:2595:1] [243:4641:1] |
Generators of the group modulo torsion |
j |
1871633778384769/13516875 |
j-invariant |
L |
7.6190409546289 |
L(r)(E,1)/r! |
Ω |
0.54683728475279 |
Real period |
R |
0.46443071623293 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65415j1 |
Quadratic twists by: -7 |