Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5070h |
Isogeny class |
Conductor |
5070 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
336960 |
Modular degree for the optimal curve |
Δ |
2.533189236463E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 6 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3795912,-2743222464] |
[a1,a2,a3,a4,a6] |
Generators |
[-1233:8649:1] |
Generators of the group modulo torsion |
j |
570403428460237/23887872000 |
j-invariant |
L |
2.790642644016 |
L(r)(E,1)/r! |
Ω |
0.10844059993275 |
Real period |
R |
4.2890495591542 |
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 |
40560da1 15210bl1 25350dc1 5070p1 |
Quadratic twists by: -4 -3 5 13 |