Atkin-Lehner |
2- 3- 11- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32538x |
Isogeny class |
Conductor |
32538 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-20752822412771328 = -1 · 232 · 34 · 112 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 1 11- 1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,11412,-6914160] |
[a1,a2,a3,a4,a6] |
Generators |
[1368:50004:1] |
Generators of the group modulo torsion |
j |
164363970016109375/20752822412771328 |
j-invariant |
L |
11.257994208617 |
L(r)(E,1)/r! |
Ω |
0.18155798212489 |
Real period |
R |
0.24221760653387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97614g1 |
Quadratic twists by: -3 |