Atkin-Lehner |
2+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
3752h |
Isogeny class |
Conductor |
3752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-144443235328 = -1 · 210 · 7 · 674 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 0 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11968,508284] |
[a1,a2,a3,a4,a6] |
Generators |
[1623:1340:27] |
Generators of the group modulo torsion |
j |
-185150455370500/141057847 |
j-invariant |
L |
4.7968959785229 |
L(r)(E,1)/r! |
Ω |
1.0233945605982 |
Real period |
R |
2.3436200284859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7504e1 30016v1 33768v1 93800s1 |
Quadratic twists by: -4 8 -3 5 |