Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344cf |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-8.8046632217432E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-949611,575042780] |
[a1,a2,a3,a4,a6] |
j |
-420526439488/390971529 |
j-invariant |
L |
1.396351098823 |
L(r)(E,1)/r! |
Ω |
0.17454388036157 |
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 |
97344ce1 48672q2 32448d1 7488z1 |
Quadratic twists by: -4 8 -3 13 |