Atkin-Lehner |
2- 5- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60680f |
Isogeny class |
Conductor |
60680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1990304000 = 28 · 53 · 37 · 412 |
Discriminant |
Eigenvalues |
2- 0 5- 0 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1487,-21966] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:10:1] |
Generators of the group modulo torsion |
j |
1420419586896/7774625 |
j-invariant |
L |
6.850225157438 |
L(r)(E,1)/r! |
Ω |
0.76906834341114 |
Real period |
R |
1.4845289143284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121360d1 |
Quadratic twists by: -4 |