Atkin-Lehner |
2+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
57400m |
Isogeny class |
Conductor |
57400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-28700000000 = -1 · 28 · 58 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 2 -7 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15708,-752588] |
[a1,a2,a3,a4,a6] |
j |
-4286610640/287 |
j-invariant |
L |
1.2793416452295 |
L(r)(E,1)/r! |
Ω |
0.21322360774108 |
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 |
114800u1 57400o1 |
Quadratic twists by: -4 5 |