Atkin-Lehner |
2+ 3+ 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050f |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
21178404000000 = 28 · 32 · 56 · 132 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-306800,65280000] |
[a1,a2,a3,a4,a6] |
Generators |
[245:2090:1] |
Generators of the group modulo torsion |
j |
204395798232168193/1355417856 |
j-invariant |
L |
2.2391783549297 |
L(r)(E,1)/r! |
Ω |
0.60798055977539 |
Real period |
R |
0.92074422277927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013525 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4602f2 |
Quadratic twists by: 5 |