Atkin-Lehner |
2+ 3- 23+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
98256f |
Isogeny class |
Conductor |
98256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-155932272 = -1 · 24 · 32 · 233 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 -2 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28,-613] |
[a1,a2,a3,a4,a6] |
Generators |
[1018:11517:8] |
Generators of the group modulo torsion |
j |
-157216000/9745767 |
j-invariant |
L |
9.1871435019825 |
L(r)(E,1)/r! |
Ω |
0.80192968961462 |
Real period |
R |
5.7281477502843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007704 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49128b1 |
Quadratic twists by: -4 |