Atkin-Lehner |
2- 3+ 7+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98532c |
Isogeny class |
Conductor |
98532 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
61056 |
Modular degree for the optimal curve |
Δ |
6033705552 = 24 · 39 · 72 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3456,-78111] |
[a1,a2,a3,a4,a6] |
j |
14495514624/19159 |
j-invariant |
L |
1.868150472294 |
L(r)(E,1)/r! |
Ω |
0.62271681216146 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98532f1 |
Quadratic twists by: -3 |