Atkin-Lehner |
2- 3+ 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116610ce |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
790272 |
Modular degree for the optimal curve |
Δ |
-1786958831586240 = -1 · 26 · 37 · 5 · 136 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,28135,-903193] |
[a1,a2,a3,a4,a6] |
j |
510273943271/370215360 |
j-invariant |
L |
1.5858300232356 |
L(r)(E,1)/r! |
Ω |
0.26430515418098 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
690b1 |
Quadratic twists by: 13 |