Atkin-Lehner |
2- 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65100y |
Isogeny class |
Conductor |
65100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-446483923200 = -1 · 28 · 38 · 52 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 1 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68,-32172] |
[a1,a2,a3,a4,a6] |
j |
-5513680/69763113 |
j-invariant |
L |
3.4217017708592 |
L(r)(E,1)/r! |
Ω |
0.42771272115412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65100t1 |
Quadratic twists by: 5 |