Atkin-Lehner |
2- 3+ 23+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
42642j |
Isogeny class |
Conductor |
42642 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
135345708 = 22 · 33 · 233 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 2 3 -3 1 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-389,-2799] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-6:1] |
Generators of the group modulo torsion |
j |
240525801459/5012804 |
j-invariant |
L |
11.338717585244 |
L(r)(E,1)/r! |
Ω |
1.0765886316066 |
Real period |
R |
2.6330199976954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42642c1 |
Quadratic twists by: -3 |