Atkin-Lehner |
2- 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
107690be |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
486 |
Product of Tamagawa factors cp |
deg |
2519424 |
Modular degree for the optimal curve |
Δ |
1.5742292274971E+19 |
Discriminant |
Eigenvalues |
2- -1 5- -3 11+ -6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-851925,234507835] |
[a1,a2,a3,a4,a6] |
Generators |
[215:7724:1] [-497:23388:1] |
Generators of the group modulo torsion |
j |
51374756600509601771/11827417186304000 |
j-invariant |
L |
13.499961826328 |
L(r)(E,1)/r! |
Ω |
0.20778408394815 |
Real period |
R |
0.13368540412073 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995187 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107690n1 |
Quadratic twists by: -11 |