Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800ni |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3502080 |
Modular degree for the optimal curve |
Δ |
-4260707200873267200 = -1 · 237 · 311 · 52 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 7 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3626220,-2659697840] |
[a1,a2,a3,a4,a6] |
j |
-1103770289367265/891813888 |
j-invariant |
L |
3.5007809330711 |
L(r)(E,1)/r! |
Ω |
0.05469970431639 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800dn1 25200el1 33600gq1 100800oo1 |
Quadratic twists by: -4 8 -3 5 |