Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83104l |
Isogeny class |
Conductor |
83104 |
Conductor |
∏ cp |
8 |
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] |
Generators |
[31470:466235:216] |
Generators of the group modulo torsion |
j |
187149248/137641 |
j-invariant |
L |
5.5175483959838 |
L(r)(E,1)/r! |
Ω |
0.39465015568286 |
Real period |
R |
6.990429776415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83104b2 11872d2 |
Quadratic twists by: -4 -7 |