Atkin-Lehner |
3+ 11- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12441d |
Isogeny class |
Conductor |
12441 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1137024 |
Modular degree for the optimal curve |
Δ |
-6.8133288813095E+20 |
Discriminant |
Eigenvalues |
1 3+ 4 4 11- 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10708373,-13550362560] |
[a1,a2,a3,a4,a6] |
j |
-135798272907989852399888089/681332888130948168687 |
j-invariant |
L |
4.1716547317996 |
L(r)(E,1)/r! |
Ω |
0.041716547317996 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37323e1 |
Quadratic twists by: -3 |