Atkin-Lehner |
2- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
24850z |
Isogeny class |
Conductor |
24850 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
62343680000000 = 215 · 57 · 73 · 71 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -5 -5 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-38688,2900992] |
[a1,a2,a3,a4,a6] |
Generators |
[142:-596:1] [-208:1504:1] |
Generators of the group modulo torsion |
j |
409857819530041/3989995520 |
j-invariant |
L |
8.229730851127 |
L(r)(E,1)/r! |
Ω |
0.62517815380928 |
Real period |
R |
0.073132317039749 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4970d1 |
Quadratic twists by: 5 |