Atkin-Lehner |
2+ 5- 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
92720c |
Isogeny class |
Conductor |
92720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
31798324000000 = 28 · 56 · 194 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 0 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15367,681174] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:1140:1] |
Generators of the group modulo torsion |
j |
1567656908292816/124212203125 |
j-invariant |
L |
6.1814145437701 |
L(r)(E,1)/r! |
Ω |
0.64342083091013 |
Real period |
R |
0.80059247832634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019847 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46360d2 |
Quadratic twists by: -4 |