Atkin-Lehner |
2+ 3- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
30798f |
Isogeny class |
Conductor |
30798 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
549120 |
Modular degree for the optimal curve |
Δ |
5268500206443159552 = 213 · 312 · 295 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 1 -1 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-729072,212825344] |
[a1,a2,a3,a4,a6] |
Generators |
[-7410:80779:8] |
Generators of the group modulo torsion |
j |
58790584409273466625/7227023602802688 |
j-invariant |
L |
4.0380273339577 |
L(r)(E,1)/r! |
Ω |
0.2334070995378 |
Real period |
R |
8.6501810398095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10266e1 |
Quadratic twists by: -3 |