Atkin-Lehner |
2+ 3- 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
60030j |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
630486013464000000 = 29 · 311 · 56 · 232 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5956335,-5593595859] |
[a1,a2,a3,a4,a6] |
Generators |
[-83654025:21128726:59319] |
Generators of the group modulo torsion |
j |
32057789414709210712561/864864216000000 |
j-invariant |
L |
4.3055192024152 |
L(r)(E,1)/r! |
Ω |
0.096639678251309 |
Real period |
R |
11.138073098403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000321 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010y2 |
Quadratic twists by: -3 |