Atkin-Lehner |
3- 7- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
95403j |
Isogeny class |
Conductor |
95403 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-557248923 = -1 · 33 · 72 · 112 · 592 |
Discriminant |
Eigenvalues |
0 3- -2 7- 11+ -1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-709,7123] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:16:1] [-1:88:1] |
Generators of the group modulo torsion |
j |
-805524471808/11372427 |
j-invariant |
L |
10.062889087146 |
L(r)(E,1)/r! |
Ω |
1.6444653789221 |
Real period |
R |
0.50993721203798 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95403a1 |
Quadratic twists by: -7 |