Atkin-Lehner |
2- 5- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7130i |
Isogeny class |
Conductor |
7130 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-409975000000 = -1 · 26 · 58 · 232 · 31 |
Discriminant |
Eigenvalues |
2- -2 5- 0 -2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1325,35857] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:243:1] |
Generators of the group modulo torsion |
j |
-257271591070801/409975000000 |
j-invariant |
L |
4.6377379211717 |
L(r)(E,1)/r! |
Ω |
0.84833725213184 |
Real period |
R |
0.22778568259642 |
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 |
57040s1 64170i1 35650d1 |
Quadratic twists by: -4 -3 5 |