Atkin-Lehner |
2- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
89012j |
Isogeny class |
Conductor |
89012 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
7582398208 = 28 · 7 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 1 2 7+ 11- 0 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-572,-3388] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-242:1] |
Generators of the group modulo torsion |
j |
280241872/102487 |
j-invariant |
L |
8.6913392373837 |
L(r)(E,1)/r! |
Ω |
1.0059917369562 |
Real period |
R |
0.71996443231651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89012r1 |
Quadratic twists by: 17 |