Atkin-Lehner |
2- 3+ 5- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
39990x |
Isogeny class |
Conductor |
39990 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
190464 |
Modular degree for the optimal curve |
Δ |
-59014321770240 = -1 · 28 · 33 · 5 · 314 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,75,-369573] |
[a1,a2,a3,a4,a6] |
Generators |
[8070:252393:8] |
Generators of the group modulo torsion |
j |
46617130799/59014321770240 |
j-invariant |
L |
6.6281413682292 |
L(r)(E,1)/r! |
Ω |
0.28711542265796 |
Real period |
R |
5.7713212572063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
119970s1 |
Quadratic twists by: -3 |