Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568r |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-69069551608512 = -1 · 26 · 33 · 72 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,958,399372] |
[a1,a2,a3,a4,a6] |
j |
314432/223587 |
j-invariant |
L |
1.9249157022127 |
L(r)(E,1)/r! |
Ω |
0.48122881860218 |
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 |
113568bb1 8736p1 |
Quadratic twists by: -4 13 |