Atkin-Lehner |
2+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
96200c |
Isogeny class |
Conductor |
96200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
1202500000000 = 28 · 510 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 2 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3175,44250] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:336:1] |
Generators of the group modulo torsion |
j |
884901456/300625 |
j-invariant |
L |
6.9325749584148 |
L(r)(E,1)/r! |
Ω |
0.7956888871999 |
Real period |
R |
4.3563351644767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19240j1 |
Quadratic twists by: 5 |