Atkin-Lehner |
2- 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
10620i |
Isogeny class |
Conductor |
10620 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
4129056000 = 28 · 37 · 53 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 5 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15888,-770812] |
[a1,a2,a3,a4,a6] |
j |
2376642789376/22125 |
j-invariant |
L |
2.5514304826289 |
L(r)(E,1)/r! |
Ω |
0.42523841377148 |
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 |
42480bg1 3540d1 53100l1 |
Quadratic twists by: -4 -3 5 |