Atkin-Lehner |
2+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
85952l |
Isogeny class |
Conductor |
85952 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
557568 |
Modular degree for the optimal curve |
Δ |
31242124509184 = 214 · 176 · 79 |
Discriminant |
Eigenvalues |
2+ -3 -3 3 2 5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45244,3694384] |
[a1,a2,a3,a4,a6] |
Generators |
[56:1156:1] |
Generators of the group modulo torsion |
j |
625153625235792/1906867951 |
j-invariant |
L |
3.4669325679466 |
L(r)(E,1)/r! |
Ω |
0.66167537469884 |
Real period |
R |
0.43663563574391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999806572 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85952u1 5372b1 |
Quadratic twists by: -4 8 |