Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400df |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
34865516448000 = 28 · 33 · 53 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-755988,253251972] |
[a1,a2,a3,a4,a6] |
j |
12692020761488/9261 |
j-invariant |
L |
2.1685237548785 |
L(r)(E,1)/r! |
Ω |
0.54213093871918 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58800eh1 88200dt1 29400ce1 4200bb1 |
Quadratic twists by: -4 -3 5 -7 |