Atkin-Lehner |
3+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48165a |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
597975993514355625 = 32 · 54 · 138 · 194 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-513763,-136984232] |
[a1,a2,a3,a4,a6] |
Generators |
[787982860452:11039227132241:851971392] |
Generators of the group modulo torsion |
j |
3107086841064961/123886400625 |
j-invariant |
L |
5.0461796477661 |
L(r)(E,1)/r! |
Ω |
0.1787619074566 |
Real period |
R |
14.114247603288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3705e2 |
Quadratic twists by: 13 |