Atkin-Lehner |
2+ 3+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
64974c |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
-5.8718660285141E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 1 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2897199,-4147893819] |
[a1,a2,a3,a4,a6] |
Generators |
[65955:1531813:27] |
Generators of the group modulo torsion |
j |
-466524661159336633/1018572198505056 |
j-invariant |
L |
3.1398199422555 |
L(r)(E,1)/r! |
Ω |
0.054184177095499 |
Real period |
R |
1.2072327932257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64974s1 |
Quadratic twists by: -7 |