Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
102240bw |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-30057652108800000 = -1 · 212 · 38 · 55 · 713 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -2 5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,39048,7794704] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:1420:1] |
Generators of the group modulo torsion |
j |
2205121988096/10066246875 |
j-invariant |
L |
8.9268986124533 |
L(r)(E,1)/r! |
Ω |
0.26654469775194 |
Real period |
R |
0.55818646756172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017168 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102240bj1 34080b1 |
Quadratic twists by: -4 -3 |