Atkin-Lehner |
2- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
33418bs |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
-534688 = -1 · 25 · 72 · 11 · 31 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 11- 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-449,3625] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-7:1] |
Generators of the group modulo torsion |
j |
-204327634273/10912 |
j-invariant |
L |
5.3637457521176 |
L(r)(E,1)/r! |
Ω |
2.76406026478 |
Real period |
R |
0.38810628121699 |
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 |
33418z1 |
Quadratic twists by: -7 |