Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
102240d |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
29399112000 = 26 · 36 · 53 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1713,26012] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:142:1] [-8:198:1] |
Generators of the group modulo torsion |
j |
11914842304/630125 |
j-invariant |
L |
10.695107184719 |
L(r)(E,1)/r! |
Ω |
1.1620558785114 |
Real period |
R |
4.6018041730811 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102240bc1 11360n1 |
Quadratic twists by: -4 -3 |