Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
60690bx |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
570 |
Product of Tamagawa factors cp |
deg |
37209600 |
Modular degree for the optimal curve |
Δ |
-1.7033167758624E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 -5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,297765364,-177694594284] |
[a1,a2,a3,a4,a6] |
Generators |
[87880:26501866:1] |
Generators of the group modulo torsion |
j |
418557259677940327871/244176605948362500 |
j-invariant |
L |
11.272161896516 |
L(r)(E,1)/r! |
Ω |
0.027879140351259 |
Real period |
R |
0.70933760425493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60690bo1 |
Quadratic twists by: 17 |