Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568p |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-134087022855991296 = -1 · 212 · 32 · 73 · 139 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 4 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2606205,-1618652907] |
[a1,a2,a3,a4,a6] |
j |
-99021508447744/6782139 |
j-invariant |
L |
2.8517194133237 |
L(r)(E,1)/r! |
Ω |
0.059410829634201 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113568cm1 8736m1 |
Quadratic twists by: -4 13 |