Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696cg |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1493918914752 = -1 · 26 · 313 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 11- 2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,726,-58322] |
[a1,a2,a3,a4,a6] |
Generators |
[368917:3182427:4913] |
Generators of the group modulo torsion |
j |
61952/2187 |
j-invariant |
L |
7.5161762626325 |
L(r)(E,1)/r! |
Ω |
0.40873238148619 |
Real period |
R |
9.1944957177008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000149 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69696ce1 34848z1 23232cd1 69696cf1 |
Quadratic twists by: -4 8 -3 -11 |