Atkin-Lehner |
2+ 3- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109554h |
Isogeny class |
Conductor |
109554 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
554400 |
Modular degree for the optimal curve |
Δ |
-78592139495424 = -1 · 211 · 37 · 19 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 6 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1462,-427192] |
[a1,a2,a3,a4,a6] |
j |
-373845337/85100544 |
j-invariant |
L |
5.7228847456885 |
L(r)(E,1)/r! |
Ω |
0.27251832744535 |
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 |
109554f1 |
Quadratic twists by: -31 |