Atkin-Lehner |
2- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
81340i |
Isogeny class |
Conductor |
81340 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
310901760 |
Modular degree for the optimal curve |
Δ |
-2.9325189778493E+28 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -5 3 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-476979168325,126793411733583223] |
[a1,a2,a3,a4,a6] |
j |
-398468268581709081893430156918784/973671876278076171875 |
j-invariant |
L |
1.2712184902178 |
L(r)(E,1)/r! |
Ω |
0.024446508603274 |
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 |
11620b1 |
Quadratic twists by: -7 |