Atkin-Lehner |
2- 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
15170i |
Isogeny class |
Conductor |
15170 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-8.06518948096E+27 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 2 -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-367300486,5099897278339] |
[a1,a2,a3,a4,a6] |
Generators |
[2593:2039519:1] |
Generators of the group modulo torsion |
j |
-5480096689900737783833806440289/8065189480960000000000000000 |
j-invariant |
L |
9.9401981327875 |
L(r)(E,1)/r! |
Ω |
0.03731279327565 |
Real period |
R |
5.5500390863229 |
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 |
121360o2 75850e2 |
Quadratic twists by: -4 5 |