Atkin-Lehner |
2+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
61936d |
Isogeny class |
Conductor |
61936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
6936832 = 28 · 73 · 79 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 4 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175,-882] |
[a1,a2,a3,a4,a6] |
Generators |
[579:1952:27] |
Generators of the group modulo torsion |
j |
6750000/79 |
j-invariant |
L |
6.4017753250951 |
L(r)(E,1)/r! |
Ω |
1.3135520864661 |
Real period |
R |
4.8736364479582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000316 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30968d1 61936e1 |
Quadratic twists by: -4 -7 |