Atkin-Lehner |
2- 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
5310o |
Isogeny class |
Conductor |
5310 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-209033460 = -1 · 22 · 311 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 2 3 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,148,-61] |
[a1,a2,a3,a4,a6] |
j |
494913671/286740 |
j-invariant |
L |
4.2309196660678 |
L(r)(E,1)/r! |
Ω |
1.0577299165169 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42480by1 1770b1 26550i1 |
Quadratic twists by: -4 -3 5 |