Atkin-Lehner |
2+ 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
102240w |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
3339739123200 = 29 · 36 · 52 · 713 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 2 -3 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12747,546914] |
[a1,a2,a3,a4,a6] |
j |
613691601992/8947775 |
j-invariant |
L |
4.7774733833805 |
L(r)(E,1)/r! |
Ω |
0.79624555160773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102240bm1 11360h1 |
Quadratic twists by: -4 -3 |