Atkin-Lehner |
2+ 5+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
88330a |
Isogeny class |
Conductor |
88330 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
226176 |
Modular degree for the optimal curve |
Δ |
-18593609154560 = -1 · 219 · 5 · 113 · 732 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 11+ 2 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5734,265912] |
[a1,a2,a3,a4,a6] |
j |
-15660652081859/13969653760 |
j-invariant |
L |
2.5167607313167 |
L(r)(E,1)/r! |
Ω |
0.62919017674169 |
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 |
88330r1 |
Quadratic twists by: -11 |