Atkin-Lehner |
3+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
15987c |
Isogeny class |
Conductor |
15987 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
319680 |
Modular degree for the optimal curve |
Δ |
652337835154158753 = 310 · 737 |
Discriminant |
Eigenvalues |
1 3+ 4 -2 4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-439753,-105485720] |
[a1,a2,a3,a4,a6] |
Generators |
[-921195095854086981720:-77750279406960531424:2010418452601807625] |
Generators of the group modulo torsion |
j |
62146192681/4310577 |
j-invariant |
L |
6.3633168010572 |
L(r)(E,1)/r! |
Ω |
0.1862042867692 |
Real period |
R |
34.173846969186 |
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 |
47961g1 219c1 |
Quadratic twists by: -3 73 |