Atkin-Lehner |
2- 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728el |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-67510511087910912 = -1 · 230 · 38 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -4 -4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10719,12497247] |
[a1,a2,a3,a4,a6] |
j |
519524563319/257532162048 |
j-invariant |
L |
4.3278825694906 |
L(r)(E,1)/r! |
Ω |
0.27049266065002 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728bf1 12432bc1 |
Quadratic twists by: -4 8 |