Atkin-Lehner |
2+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27830n |
Isogeny class |
Conductor |
27830 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
-150929873753219000 = -1 · 23 · 53 · 1111 · 232 |
Discriminant |
Eigenvalues |
2+ 3 5- -3 11- 4 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-306334,67959788] |
[a1,a2,a3,a4,a6] |
j |
-1794543557503761/85195979000 |
j-invariant |
L |
3.8609924501706 |
L(r)(E,1)/r! |
Ω |
0.3217493708476 |
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 |
2530l1 |
Quadratic twists by: -11 |