Atkin-Lehner |
2+ 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640x |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-3553225000000 = -1 · 26 · 58 · 132 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 2 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5816,-195266] |
[a1,a2,a3,a4,a6] |
Generators |
[61907358:2075425625:54872] |
Generators of the group modulo torsion |
j |
-340009930870336/55519140625 |
j-invariant |
L |
5.3325019807308 |
L(r)(E,1)/r! |
Ω |
0.27091578504341 |
Real period |
R |
9.8416227752174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000112954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640v1 60320v2 |
Quadratic twists by: -4 8 |