Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
95760do |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-510699257413632000 = -1 · 217 · 314 · 53 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 3 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,170997,-21010502] |
[a1,a2,a3,a4,a6] |
j |
185183253170999/171032148000 |
j-invariant |
L |
1.9300073991334 |
L(r)(E,1)/r! |
Ω |
0.16083394868429 |
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 |
11970bu1 31920by1 |
Quadratic twists by: -4 -3 |