Atkin-Lehner |
2- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41650cc |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-110634637941406250 = -1 · 2 · 59 · 78 · 173 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 6 -7 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-52088,16640042] |
[a1,a2,a3,a4,a6] |
j |
-8502154921/60184250 |
j-invariant |
L |
3.4418135940322 |
L(r)(E,1)/r! |
Ω |
0.28681779950846 |
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 |
8330c1 5950l1 |
Quadratic twists by: 5 -7 |