Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33124q |
Isogeny class |
Conductor |
33124 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-24568295320301824 = -1 · 28 · 76 · 138 |
Discriminant |
Eigenvalues |
2- 2 3 7- 0 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35884,7994232] |
[a1,a2,a3,a4,a6] |
Generators |
[2574:130242:1] |
Generators of the group modulo torsion |
j |
-208 |
j-invariant |
L |
9.8958431056498 |
L(r)(E,1)/r! |
Ω |
0.32833117507375 |
Real period |
R |
5.0233036320859 |
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 |
676c1 33124r1 |
Quadratic twists by: -7 13 |