Atkin-Lehner |
2+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83104b |
Isogeny class |
Conductor |
83104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-66327863332864 = -1 · 212 · 78 · 532 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9343,-184015] |
[a1,a2,a3,a4,a6] |
j |
187149248/137641 |
j-invariant |
L |
5.5547649725451 |
L(r)(E,1)/r! |
Ω |
0.34717280944182 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83104l2 11872b2 |
Quadratic twists by: -4 -7 |