Atkin-Lehner |
2+ 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
113568i |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1517568 |
Modular degree for the optimal curve |
Δ |
-24628228687835136 = -1 · 212 · 34 · 7 · 139 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ -6 13- 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-591725,-175163067] |
[a1,a2,a3,a4,a6] |
j |
-527514112/567 |
j-invariant |
L |
0.68849603065715 |
L(r)(E,1)/r! |
Ω |
0.086062018764317 |
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 |
113568bs1 113568ch1 |
Quadratic twists by: -4 13 |