Atkin-Lehner |
2- 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
94380n |
Isogeny class |
Conductor |
94380 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20528640 |
Modular degree for the optimal curve |
Δ |
-1.35210594061E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68832221,-282179977521] |
[a1,a2,a3,a4,a6] |
j |
-5431655920328704/2036310046875 |
j-invariant |
L |
1.234882438711 |
L(r)(E,1)/r! |
Ω |
0.025726719643546 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94380r1 |
Quadratic twists by: -11 |