Atkin-Lehner |
2+ 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
98624a |
Isogeny class |
Conductor |
98624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-453348491264 = -1 · 216 · 23 · 673 |
Discriminant |
Eigenvalues |
2+ 1 -1 2 2 -4 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40481,-3148609] |
[a1,a2,a3,a4,a6] |
Generators |
[6575868902779:6694054773364:28288984823] |
Generators of the group modulo torsion |
j |
-111945903743524/6917549 |
j-invariant |
L |
7.1373171681211 |
L(r)(E,1)/r! |
Ω |
0.168288425333 |
Real period |
R |
21.205609221187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98624p1 12328a1 |
Quadratic twists by: -4 8 |