Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712bj |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-8724672 = -1 · 26 · 36 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 11+ 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6,-142] |
[a1,a2,a3,a4,a6] |
Generators |
[605:81:125] |
Generators of the group modulo torsion |
j |
512/187 |
j-invariant |
L |
9.3214177152675 |
L(r)(E,1)/r! |
Ω |
1.0871786552866 |
Real period |
R |
4.2869760265948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055344 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107712cg1 53856be1 11968g1 |
Quadratic twists by: -4 8 -3 |