Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
69312db |
Isogeny class |
Conductor |
69312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1601384448 = -1 · 212 · 3 · 194 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 0 -3 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3369,-76425] |
[a1,a2,a3,a4,a6] |
Generators |
[179426:982071:2197] |
Generators of the group modulo torsion |
j |
-7924672/3 |
j-invariant |
L |
6.1905703225857 |
L(r)(E,1)/r! |
Ω |
0.31330960007061 |
Real period |
R |
9.8793179673676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69312cg1 34656u1 69312cr1 |
Quadratic twists by: -4 8 -19 |