Atkin-Lehner |
2- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37570p |
Isogeny class |
Conductor |
37570 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
25067520 |
Modular degree for the optimal curve |
Δ |
1.4653466356905E+28 |
Discriminant |
Eigenvalues |
2- -2 5- 0 0 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-961058235,9878475982225] |
[a1,a2,a3,a4,a6] |
Generators |
[4070:2454465:1] |
Generators of the group modulo torsion |
j |
827813553991775477153/123566310400000000 |
j-invariant |
L |
6.3727387150234 |
L(r)(E,1)/r! |
Ω |
0.037860757408519 |
Real period |
R |
1.3150033073537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37570g1 |
Quadratic twists by: 17 |