Atkin-Lehner |
2+ 3- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
96408j |
Isogeny class |
Conductor |
96408 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
45945049305168 = 24 · 36 · 135 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 2 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1113570,452297601] |
[a1,a2,a3,a4,a6] |
Generators |
[-480:29601:1] [300:12051:1] |
Generators of the group modulo torsion |
j |
13092686478376704000/3939047437 |
j-invariant |
L |
11.739052990598 |
L(r)(E,1)/r! |
Ω |
0.51282317574803 |
Real period |
R |
1.1445517233115 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995478 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10712d1 |
Quadratic twists by: -3 |