Atkin-Lehner |
2- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800bk |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-24618176000000 = -1 · 212 · 56 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 11+ -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4267,-211837] |
[a1,a2,a3,a4,a6] |
Generators |
[4416566:6068201:117649] |
Generators of the group modulo torsion |
j |
134217728/384659 |
j-invariant |
L |
7.5190349084575 |
L(r)(E,1)/r! |
Ω |
0.34511218505986 |
Real period |
R |
10.893609721057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4675l1 2992f1 |
Quadratic twists by: -4 5 |