Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69696bh |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
2.7374607375898E+19 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 11+ -6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4008972,-3079295120] |
[a1,a2,a3,a4,a6] |
j |
63253004/243 |
j-invariant |
L |
0.42687589028938 |
L(r)(E,1)/r! |
Ω |
0.10671897599568 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696fi1 8712u1 23232bm1 69696bg1 |
Quadratic twists by: -4 8 -3 -11 |