Atkin-Lehner |
2- 3- 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
98256r |
Isogeny class |
Conductor |
98256 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
-551835578400768 = -1 · 221 · 35 · 233 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 1 3 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-196024,-33489580] |
[a1,a2,a3,a4,a6] |
Generators |
[614:8832:1] |
Generators of the group modulo torsion |
j |
-203373199336745017/134725483008 |
j-invariant |
L |
5.8085651630965 |
L(r)(E,1)/r! |
Ω |
0.11344224377785 |
Real period |
R |
0.85338068121975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011435 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12282b1 |
Quadratic twists by: -4 |