Atkin-Lehner |
2- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800dp |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-299200000000 = -1 · 212 · 58 · 11 · 17 |
Discriminant |
Eigenvalues |
2- -2 5- 3 11- 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,-26412] |
[a1,a2,a3,a4,a6] |
Generators |
[58:400:1] |
Generators of the group modulo torsion |
j |
-625/187 |
j-invariant |
L |
4.3650141726918 |
L(r)(E,1)/r! |
Ω |
0.43455171329985 |
Real period |
R |
0.8370722512654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4675r1 74800by1 |
Quadratic twists by: -4 5 |