Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510cp |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
127680 |
Modular degree for the optimal curve |
Δ |
-2647372612500 = -1 · 22 · 36 · 55 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -6 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4493,-138743] |
[a1,a2,a3,a4,a6] |
j |
-5729578281/1512500 |
j-invariant |
L |
3.4512093063364 |
L(r)(E,1)/r! |
Ω |
0.2876007755369 |
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 |
5390l1 48510em1 |
Quadratic twists by: -3 -7 |