Atkin-Lehner |
5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88445i |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-294079625 = -1 · 53 · 73 · 193 |
Discriminant |
Eigenvalues |
1 3 5+ 7- 2 6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1255,17450] |
[a1,a2,a3,a4,a6] |
j |
-92959677/125 |
j-invariant |
L |
6.9032855546409 |
L(r)(E,1)/r! |
Ω |
1.7258214103761 |
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 |
88445bi1 88445k1 |
Quadratic twists by: -7 -19 |