Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950ib |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
17694720 |
Modular degree for the optimal curve |
Δ |
2.9611496581632E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-62833338,-191708391708] |
[a1,a2,a3,a4,a6] |
Generators |
[-4572:3510:1] |
Generators of the group modulo torsion |
j |
14924020698027934921/161083883520 |
j-invariant |
L |
12.980844862782 |
L(r)(E,1)/r! |
Ω |
0.053623147604633 |
Real period |
R |
1.5129712458694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994277 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990a1 17850bc1 |
Quadratic twists by: 5 -7 |