Atkin-Lehner |
2- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98020d |
Isogeny class |
Conductor |
98020 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
1599158505448400 = 24 · 52 · 1310 · 29 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 -2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31321,-911730] |
[a1,a2,a3,a4,a6] |
j |
44001181696/20706725 |
j-invariant |
L |
0.75140506298748 |
L(r)(E,1)/r! |
Ω |
0.37570250698149 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7540e1 |
Quadratic twists by: 13 |