Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5920c |
Isogeny class |
Conductor |
5920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-87616000000 = -1 · 212 · 56 · 372 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -4 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6161,184639] |
[a1,a2,a3,a4,a6] |
Generators |
[34:125:1] |
Generators of the group modulo torsion |
j |
-6315211203904/21390625 |
j-invariant |
L |
2.5265978308332 |
L(r)(E,1)/r! |
Ω |
1.0802286737938 |
Real period |
R |
1.1694735994924 |
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 |
5920b2 11840bm1 53280bt2 29600y2 |
Quadratic twists by: -4 8 -3 5 |