Atkin-Lehner |
2+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800v |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-2262700000000 = -1 · 28 · 58 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5- -3 11- 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8375,303750] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:22:1] [125:1100:1] |
Generators of the group modulo torsion |
j |
-649648080/22627 |
j-invariant |
L |
9.9033215764362 |
L(r)(E,1)/r! |
Ω |
0.81567565140616 |
Real period |
R |
0.67451385985946 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37400v1 74800f1 |
Quadratic twists by: -4 5 |