Atkin-Lehner |
2+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30400g |
Isogeny class |
Conductor |
30400 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-19000000 = -1 · 26 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 1 -3 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,67,13] |
[a1,a2,a3,a4,a6] |
Generators |
[4:19:1] |
Generators of the group modulo torsion |
j |
32768/19 |
j-invariant |
L |
3.0565571124218 |
L(r)(E,1)/r! |
Ω |
1.289981348522 |
Real period |
R |
2.3694583769943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30400bv1 475a1 1216d1 |
Quadratic twists by: -4 8 5 |