Atkin-Lehner |
2- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
33418bl |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
57 |
Product of Tamagawa factors cp |
deg |
150480 |
Modular degree for the optimal curve |
Δ |
-2545059306668032 = -1 · 219 · 76 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11- 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,17606,2250105] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:1415:1] |
Generators of the group modulo torsion |
j |
5130275528223/21632647168 |
j-invariant |
L |
9.8650425625866 |
L(r)(E,1)/r! |
Ω |
0.32645956256473 |
Real period |
R |
0.53014505316053 |
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 |
682b1 |
Quadratic twists by: -7 |