Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21312bv |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-859103428608 = -1 · 217 · 311 · 37 |
Discriminant |
Eigenvalues |
2- 3- -4 1 3 5 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7212,-239920] |
[a1,a2,a3,a4,a6] |
Generators |
[106:432:1] |
Generators of the group modulo torsion |
j |
-434163602/8991 |
j-invariant |
L |
4.2224107203193 |
L(r)(E,1)/r! |
Ω |
0.25871579531029 |
Real period |
R |
2.0400816247299 |
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 |
21312p1 5328g1 7104n1 |
Quadratic twists by: -4 8 -3 |