Atkin-Lehner |
2- 7- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
112336l |
Isogeny class |
Conductor |
112336 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
8976000 |
Modular degree for the optimal curve |
Δ |
-1.8100816631022E+22 |
Discriminant |
Eigenvalues |
2- 0 -3 7- 6 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11636099,16592452994] |
[a1,a2,a3,a4,a6] |
Generators |
[577:100352:1] |
Generators of the group modulo torsion |
j |
-42538873695051049514073/4419144685308215296 |
j-invariant |
L |
5.6542682717361 |
L(r)(E,1)/r! |
Ω |
0.11957032541538 |
Real period |
R |
0.53736617627192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966387 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14042b1 |
Quadratic twists by: -4 |