Atkin-Lehner |
2+ 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30624c |
Isogeny class |
Conductor |
30624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1309727232 = 29 · 36 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11- 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,-2520] |
[a1,a2,a3,a4,a6] |
Generators |
[-357:532:27] |
Generators of the group modulo torsion |
j |
14706125000/2558061 |
j-invariant |
L |
5.3946450551858 |
L(r)(E,1)/r! |
Ω |
1.0746843085682 |
Real period |
R |
5.0197486016831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30624e2 61248ca2 91872t2 |
Quadratic twists by: -4 8 -3 |