Atkin-Lehner |
2- 3+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
21312bm |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-44814532608 = -1 · 215 · 33 · 373 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 -3 -3 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,564,8784] |
[a1,a2,a3,a4,a6] |
Generators |
[90:888:1] |
Generators of the group modulo torsion |
j |
22425768/50653 |
j-invariant |
L |
2.8971671827427 |
L(r)(E,1)/r! |
Ω |
0.790814554343 |
Real period |
R |
0.15264678503702 |
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 |
21312bl1 10656b1 21312bi1 |
Quadratic twists by: -4 8 -3 |