Atkin-Lehner |
2+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
114800z |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-45920000 = -1 · 28 · 54 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 4 1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-308,-2212] |
[a1,a2,a3,a4,a6] |
j |
-20261200/287 |
j-invariant |
L |
3.4150717938538 |
L(r)(E,1)/r! |
Ω |
0.56917864596486 |
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 |
57400x1 114800i1 |
Quadratic twists by: -4 5 |