Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800dj |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
9152198067600000000 = 210 · 34 · 58 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833408,-254386812] |
[a1,a2,a3,a4,a6] |
Generators |
[-656:3234:1] |
Generators of the group modulo torsion |
j |
34008619684/4862025 |
j-invariant |
L |
7.989923836263 |
L(r)(E,1)/r! |
Ω |
0.15951533050549 |
Real period |
R |
3.1305470025158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999429 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29400r4 11760e3 8400c3 |
Quadratic twists by: -4 5 -7 |