Atkin-Lehner |
2+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
57400b |
Isogeny class |
Conductor |
57400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
8036000000 = 28 · 56 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16775,836250] |
[a1,a2,a3,a4,a6] |
Generators |
[610:-175:8] [30:600:1] |
Generators of the group modulo torsion |
j |
130512259152/2009 |
j-invariant |
L |
9.351343548422 |
L(r)(E,1)/r! |
Ω |
1.2010730551409 |
Real period |
R |
1.9464560270496 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114800m1 2296b1 |
Quadratic twists by: -4 5 |