Atkin-Lehner |
5+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
100555h |
Isogeny class |
Conductor |
100555 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
222768 |
Modular degree for the optimal curve |
Δ |
-23782629170755 = -1 · 5 · 73 · 138 · 17 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- -6 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,5859,-156984] |
[a1,a2,a3,a4,a6] |
j |
27262976/29155 |
j-invariant |
L |
0.36494056999197 |
L(r)(E,1)/r! |
Ω |
0.36494053800632 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
100555j1 |
Quadratic twists by: 13 |