Atkin-Lehner |
3+ 5+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109725h |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
35403264 |
Modular degree for the optimal curve |
Δ |
-1.0594520253091E+22 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7+ 11- 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-502554508,4336505822043] |
[a1,a2,a3,a4,a6] |
j |
-898365791166868060153532416/678049296197853195 |
j-invariant |
L |
2.5582910225282 |
L(r)(E,1)/r! |
Ω |
0.10659547751986 |
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 |
21945bc1 |
Quadratic twists by: 5 |