Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
90944br |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-134214159908864 = -1 · 214 · 710 · 29 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- -1 1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7121,-601103] |
[a1,a2,a3,a4,a6] |
Generators |
[117:392:1] |
Generators of the group modulo torsion |
j |
-20720464/69629 |
j-invariant |
L |
3.5486973812051 |
L(r)(E,1)/r! |
Ω |
0.23901090243142 |
Real period |
R |
1.8559286104035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014198 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944dq1 5684d1 12992q1 |
Quadratic twists by: -4 8 -7 |