Atkin-Lehner |
2- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33418z |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
75600 |
Modular degree for the optimal curve |
Δ |
-62905508512 = -1 · 25 · 78 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 2 2 7+ 11- -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22002,-1265377] |
[a1,a2,a3,a4,a6] |
Generators |
[5097:28847:27] |
Generators of the group modulo torsion |
j |
-204327634273/10912 |
j-invariant |
L |
13.713011450771 |
L(r)(E,1)/r! |
Ω |
0.19599839931984 |
Real period |
R |
4.6643277014368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33418bs1 |
Quadratic twists by: -7 |