Atkin-Lehner |
2- 3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850eh |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
-7554539520000000000 = -1 · 222 · 36 · 510 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 0 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1109180,-468391553] |
[a1,a2,a3,a4,a6] |
j |
-21198340490625/1061158912 |
j-invariant |
L |
3.2270586056574 |
L(r)(E,1)/r! |
Ω |
0.073342235112949 |
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 |
12650h1 113850ch1 |
Quadratic twists by: -3 5 |