Atkin-Lehner |
5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71825a |
Isogeny class |
Conductor |
71825 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
10224 |
Modular degree for the optimal curve |
Δ |
-12138425 = -1 · 52 · 134 · 17 |
Discriminant |
Eigenvalues |
1 0 5+ -1 -4 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,53,66] |
[a1,a2,a3,a4,a6] |
Generators |
[10:34:1] |
Generators of the group modulo torsion |
j |
22815/17 |
j-invariant |
L |
4.2568422149281 |
L(r)(E,1)/r! |
Ω |
1.4402421457224 |
Real period |
R |
0.98521447204247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71825p1 71825e1 |
Quadratic twists by: 5 13 |