Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
79524a |
Isogeny class |
Conductor |
79524 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-4656621022128 = -1 · 24 · 33 · 476 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-103823] |
[a1,a2,a3,a4,a6] |
Generators |
[74:549:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
3.8914219715195 |
L(r)(E,1)/r! |
Ω |
0.35425510610548 |
Real period |
R |
3.6616004536656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995683 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79524a3 36a1 |
Quadratic twists by: -3 -47 |