Atkin-Lehner |
2+ 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21312w |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
441925632 = 214 · 36 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 1 6 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-336,-2144] |
[a1,a2,a3,a4,a6] |
Generators |
[-213:107:27] |
Generators of the group modulo torsion |
j |
351232/37 |
j-invariant |
L |
5.2968882512072 |
L(r)(E,1)/r! |
Ω |
1.1226998002931 |
Real period |
R |
4.7179916214683 |
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 |
21312cj1 2664f1 2368f1 |
Quadratic twists by: -4 8 -3 |