Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200u |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3545856000000 = 214 · 36 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9233,332337] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:675:1] [-3:600:1] |
Generators of the group modulo torsion |
j |
340062928/13851 |
j-invariant |
L |
9.7321009019615 |
L(r)(E,1)/r! |
Ω |
0.78310263306688 |
Real period |
R |
1.553452333511 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000237 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200hi2 5700j2 3648q2 |
Quadratic twists by: -4 8 5 |