Atkin-Lehner |
2- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
61370t |
Isogeny class |
Conductor |
61370 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
140760 |
Modular degree for the optimal curve |
Δ |
-7997799770 = -1 · 2 · 5 · 17 · 196 |
Discriminant |
Eigenvalues |
2- -3 5+ 2 -4 3 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3678,86871] |
[a1,a2,a3,a4,a6] |
j |
-116930169/170 |
j-invariant |
L |
1.3114869369579 |
L(r)(E,1)/r! |
Ω |
1.311486929168 |
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 |
170e1 |
Quadratic twists by: -19 |