Atkin-Lehner |
2- 5- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60680g |
Isogeny class |
Conductor |
60680 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
52416 |
Modular degree for the optimal curve |
Δ |
-242720000000 = -1 · 211 · 57 · 37 · 41 |
Discriminant |
Eigenvalues |
2- 1 5- 2 -4 -1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1760,-37600] |
[a1,a2,a3,a4,a6] |
Generators |
[490:2375:8] |
Generators of the group modulo torsion |
j |
-294563206082/118515625 |
j-invariant |
L |
7.8330031802741 |
L(r)(E,1)/r! |
Ω |
0.36136538910264 |
Real period |
R |
3.0965900112563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121360e1 |
Quadratic twists by: -4 |