Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600bg |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
22418208000000 = 211 · 36 · 56 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 2 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7275,-71750] |
[a1,a2,a3,a4,a6] |
Generators |
[90:50:1] |
Generators of the group modulo torsion |
j |
1825346/961 |
j-invariant |
L |
7.1510043748456 |
L(r)(E,1)/r! |
Ω |
0.54829011740403 |
Real period |
R |
3.2605933184253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001931 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55800bp2 12400i2 4464j2 |
Quadratic twists by: -4 -3 5 |