Atkin-Lehner |
2- 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768dv |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-2026150821888 = -1 · 230 · 3 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1151,-66433] |
[a1,a2,a3,a4,a6] |
Generators |
[2884:17985:64] |
Generators of the group modulo torsion |
j |
642735647/7729152 |
j-invariant |
L |
2.8922370037995 |
L(r)(E,1)/r! |
Ω |
0.40681209480261 |
Real period |
R |
7.1095156424144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000180749 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120768s1 30192t1 |
Quadratic twists by: -4 8 |