Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800dj |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
129708022500000000 = 28 · 32 · 510 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-220908,35938188] |
[a1,a2,a3,a4,a6] |
Generators |
[6267:494802:1] |
Generators of the group modulo torsion |
j |
2533446736/275625 |
j-invariant |
L |
7.989923836263 |
L(r)(E,1)/r! |
Ω |
0.31903066101099 |
Real period |
R |
6.2610940050316 |
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 |
29400r2 11760e2 8400c2 |
Quadratic twists by: -4 5 -7 |