Atkin-Lehner |
3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
125235b |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-15063891975 = -1 · 39 · 52 · 113 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11+ -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-353,-6344] |
[a1,a2,a3,a4,a6] |
Generators |
[26:26:1] [310:1381:8] |
Generators of the group modulo torsion |
j |
-185193/575 |
j-invariant |
L |
7.3639481524809 |
L(r)(E,1)/r! |
Ω |
0.50841887302544 |
Real period |
R |
7.2420090356182 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000010623 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125235e1 125235a1 |
Quadratic twists by: -3 -11 |