Atkin-Lehner |
2+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
126400d |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8317440 |
Modular degree for the optimal curve |
Δ |
-8.37652840448E+21 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 1 2 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43940833,-112212689537] |
[a1,a2,a3,a4,a6] |
Generators |
[3017335568189592157060683617136974289079487344003135497:1093569960907774781417166615548275802247028791391681518052:22911730142987298390044865449931425504217489073181] |
Generators of the group modulo torsion |
j |
-3665123505412225/3272081408 |
j-invariant |
L |
9.9339364931519 |
L(r)(E,1)/r! |
Ω |
0.029317655452453 |
Real period |
R |
84.709506437705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126400ce1 3950b1 126400bb1 |
Quadratic twists by: -4 8 5 |