Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30492k |
Isogeny class |
Conductor |
30492 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
192521713074768 = 24 · 36 · 7 · 119 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31944,-2093663] |
[a1,a2,a3,a4,a6] |
Generators |
[-3192:4715:27] |
Generators of the group modulo torsion |
j |
131072/7 |
j-invariant |
L |
6.907520114431 |
L(r)(E,1)/r! |
Ω |
0.35829722976732 |
Real period |
R |
6.4262475774808 |
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 |
121968fd1 3388b1 30492z1 |
Quadratic twists by: -4 -3 -11 |