Atkin-Lehner |
2- 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
97284b |
Isogeny class |
Conductor |
97284 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15264 |
Modular degree for the optimal curve |
Δ |
-1167408 = -1 · 24 · 32 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11- 0 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29,90] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] |
Generators of the group modulo torsion |
j |
-1441792/603 |
j-invariant |
L |
5.9753916360582 |
L(r)(E,1)/r! |
Ω |
2.5693266660195 |
Real period |
R |
1.1628322130228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016746 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97284c1 |
Quadratic twists by: -11 |