Atkin-Lehner |
2+ 3- 5- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
114570w |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-40070445835668750 = -1 · 2 · 310 · 55 · 192 · 673 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -5 6 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-225144,-42175242] |
[a1,a2,a3,a4,a6] |
j |
-1731324209354356609/54966318018750 |
j-invariant |
L |
2.18762685583 |
L(r)(E,1)/r! |
Ω |
0.10938133820064 |
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 |
38190bg1 |
Quadratic twists by: -3 |