Atkin-Lehner |
2- 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
103334z |
Isogeny class |
Conductor |
103334 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3888000 |
Modular degree for the optimal curve |
Δ |
1.8573610756478E+20 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1572337,381885769] |
[a1,a2,a3,a4,a6] |
Generators |
[-276:28331:1] |
Generators of the group modulo torsion |
j |
242663535802176553/104843190589984 |
j-invariant |
L |
7.0308511722896 |
L(r)(E,1)/r! |
Ω |
0.16199873706599 |
Real period |
R |
4.3400654248326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946281 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9394d1 |
Quadratic twists by: -11 |