Atkin-Lehner |
7+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
3913a |
Isogeny class |
Conductor |
3913 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
3177958819292803 = 72 · 138 · 433 |
Discriminant |
Eigenvalues |
1 0 0 7+ 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-419872,104788425] |
[a1,a2,a3,a4,a6] |
j |
8186062108960937489625/3177958819292803 |
j-invariant |
L |
1.3219036071286 |
L(r)(E,1)/r! |
Ω |
0.44063453570954 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62608t2 35217e2 97825n2 27391e2 |
Quadratic twists by: -4 -3 5 -7 |