Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42588y |
Isogeny class |
Conductor |
42588 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-25830814464 = -1 · 28 · 38 · 7 · 133 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 13- -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,312,-7436] |
[a1,a2,a3,a4,a6] |
Generators |
[130:351:8] |
Generators of the group modulo torsion |
j |
8192/63 |
j-invariant |
L |
5.8574530177941 |
L(r)(E,1)/r! |
Ω |
0.59170742006194 |
Real period |
R |
2.4748096860004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14196p1 42588m1 |
Quadratic twists by: -3 13 |