Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800fo |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
25515000000 = 26 · 36 · 57 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10575,418500] |
[a1,a2,a3,a4,a6] |
Generators |
[64:62:1] |
Generators of the group modulo torsion |
j |
179406144/35 |
j-invariant |
L |
7.3648732103112 |
L(r)(E,1)/r! |
Ω |
1.1576409226759 |
Real period |
R |
3.1809834432156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916757 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800dx1 50400du4 11200o1 20160bg1 |
Quadratic twists by: -4 8 -3 5 |