Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40432k |
Isogeny class |
Conductor |
40432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
744192 |
Modular degree for the optimal curve |
Δ |
235531041359683216 = 24 · 74 · 1910 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- -4 1 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4734996,-3967280149] |
[a1,a2,a3,a4,a6] |
Generators |
[95152995:5777010127:19683] |
Generators of the group modulo torsion |
j |
119681400064/2401 |
j-invariant |
L |
5.6686472223567 |
L(r)(E,1)/r! |
Ω |
0.10234583313707 |
Real period |
R |
13.846795342329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20216c1 40432i1 |
Quadratic twists by: -4 -19 |