Atkin-Lehner |
2+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
82600i |
Isogeny class |
Conductor |
82600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
119040 |
Modular degree for the optimal curve |
Δ |
-264320000 = -1 · 210 · 54 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ 3 5- 7- 4 5 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3475,-78850] |
[a1,a2,a3,a4,a6] |
j |
-7251171300/413 |
j-invariant |
L |
7.4617486481628 |
L(r)(E,1)/r! |
Ω |
0.31090619283039 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82600o1 |
Quadratic twists by: 5 |