Atkin-Lehner |
2- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
33418bp |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
92 |
Product of Tamagawa factors cp |
deg |
158976 |
Modular degree for the optimal curve |
Δ |
-186559949176832 = -1 · 223 · 72 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 1 4 7- 11- -1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9029,-567407] |
[a1,a2,a3,a4,a6] |
Generators |
[222:3409:1] |
Generators of the group modulo torsion |
j |
1661282862228479/3807345901568 |
j-invariant |
L |
12.845355852373 |
L(r)(E,1)/r! |
Ω |
0.29429873363618 |
Real period |
R |
0.4744275704243 |
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 |
33418y1 |
Quadratic twists by: -7 |