Atkin-Lehner |
2+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
95200j |
Isogeny class |
Conductor |
95200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
354025000000 = 26 · 58 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1825,9000] |
[a1,a2,a3,a4,a6] |
Generators |
[4:42:1] |
Generators of the group modulo torsion |
j |
672221376/354025 |
j-invariant |
L |
6.2968319453629 |
L(r)(E,1)/r! |
Ω |
0.84041280490963 |
Real period |
R |
3.746273198376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000193 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
95200d1 19040h1 |
Quadratic twists by: -4 5 |