Atkin-Lehner |
2- 3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
59472ba |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
2.7591658119703E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38578179,-91880642558] |
[a1,a2,a3,a4,a6] |
Generators |
[-147473804521832047069:-238898412264355135488:39280075655891491] |
Generators of the group modulo torsion |
j |
2126480513962938771457/9240390477545472 |
j-invariant |
L |
5.7640231263538 |
L(r)(E,1)/r! |
Ω |
0.060593727185438 |
Real period |
R |
23.781434951488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000414 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7434e1 19824v1 |
Quadratic twists by: -4 -3 |