Atkin-Lehner |
2- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
51520ca |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
893061693440000 = 224 · 54 · 7 · 233 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -6 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-117825,-15539777] |
[a1,a2,a3,a4,a6] |
Generators |
[-207:152:1] |
Generators of the group modulo torsion |
j |
690080604747409/3406760000 |
j-invariant |
L |
4.1590317541381 |
L(r)(E,1)/r! |
Ω |
0.25776202187416 |
Real period |
R |
4.0337902805165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520bi1 12880l1 |
Quadratic twists by: -4 8 |