Atkin-Lehner |
2- 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
94302br |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
129792 |
Modular degree for the optimal curve |
Δ |
1158782976 = 213 · 33 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 2 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3971,97283] |
[a1,a2,a3,a4,a6] |
Generators |
[27:82:1] |
Generators of the group modulo torsion |
j |
1517296197339/253952 |
j-invariant |
L |
14.994179556334 |
L(r)(E,1)/r! |
Ω |
1.4935290303157 |
Real period |
R |
0.38613190745008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94302k1 94302e1 |
Quadratic twists by: -3 13 |