Atkin-Lehner |
2- 3+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190cc |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2177280 |
Modular degree for the optimal curve |
Δ |
-3998680142036336640 = -1 · 218 · 37 · 5 · 136 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-451825,151208975] |
[a1,a2,a3,a4,a6] |
j |
-2113364608155289/828431400960 |
j-invariant |
L |
4.1824953651073 |
L(r)(E,1)/r! |
Ω |
0.23236085033061 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
510a1 |
Quadratic twists by: 13 |