Atkin-Lehner |
2+ 11- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116402u |
Isogeny class |
Conductor |
116402 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
18063360 |
Modular degree for the optimal curve |
Δ |
-2.9650629419788E+21 |
Discriminant |
Eigenvalues |
2+ 1 3 4 11- 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-146195712,680370549582] |
[a1,a2,a3,a4,a6] |
j |
-195061473718063000264657/1673700731715584 |
j-invariant |
L |
3.5937212761204 |
L(r)(E,1)/r! |
Ω |
0.12834721254481 |
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 |
10582d1 |
Quadratic twists by: -11 |