Atkin-Lehner |
3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
23175l |
Isogeny class |
Conductor |
23175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-3805688859075 = -1 · 315 · 52 · 1032 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 2 3 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2550,106141] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:364:1] |
Generators of the group modulo torsion |
j |
-100618240000/208816947 |
j-invariant |
L |
4.3787372494361 |
L(r)(E,1)/r! |
Ω |
0.69873738789662 |
Real period |
R |
0.78333028353778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7725b1 23175o1 |
Quadratic twists by: -3 5 |