Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30150v |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
228951562500 = 22 · 37 · 58 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1692,-13284] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:114:1] [-21:123:1] |
Generators of the group modulo torsion |
j |
47045881/20100 |
j-invariant |
L |
6.0049793240083 |
L(r)(E,1)/r! |
Ω |
0.77358739071482 |
Real period |
R |
0.97031366399029 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10050bh1 6030v1 |
Quadratic twists by: -3 5 |