Atkin-Lehner |
2- 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
38350y |
Isogeny class |
Conductor |
38350 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
12165120 |
Modular degree for the optimal curve |
Δ |
-2.8504399145442E+24 |
Discriminant |
Eigenvalues |
2- 2 5+ 3 -5 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37493313,120011716031] |
[a1,a2,a3,a4,a6] |
Generators |
[63615:15942592:1] |
Generators of the group modulo torsion |
j |
-373048363475306556254281/182428154530826813440 |
j-invariant |
L |
13.427508580255 |
L(r)(E,1)/r! |
Ω |
0.075042864906628 |
Real period |
R |
0.62128882925039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7670c1 |
Quadratic twists by: 5 |