Atkin-Lehner |
2- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57400w |
Isogeny class |
Conductor |
57400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2069760 |
Modular degree for the optimal curve |
Δ |
-1.5266010134423E+19 |
Discriminant |
Eigenvalues |
2- 3 5- 7+ 0 -5 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,149825,186654050] |
[a1,a2,a3,a4,a6] |
Generators |
[707719299:51861086218:132651] |
Generators of the group modulo torsion |
j |
2324644721895600/95412563340143 |
j-invariant |
L |
10.487240934016 |
L(r)(E,1)/r! |
Ω |
0.16753966160347 |
Real period |
R |
15.648892974913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114800y1 57400h1 |
Quadratic twists by: -4 5 |