Atkin-Lehner |
3- 5+ 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
126825m |
Isogeny class |
Conductor |
126825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
1133292743203125 = 3 · 57 · 193 · 893 |
Discriminant |
Eigenvalues |
-2 3- 5+ 3 -4 2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-26258,233894] |
[a1,a2,a3,a4,a6] |
j |
128146030391296/72530735565 |
j-invariant |
L |
0.84142304667465 |
L(r)(E,1)/r! |
Ω |
0.42071046766049 |
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 |
25365d1 |
Quadratic twists by: 5 |