Atkin-Lehner |
2+ 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57400k |
Isogeny class |
Conductor |
57400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
100224 |
Modular degree for the optimal curve |
Δ |
-9692360230000 = -1 · 24 · 54 · 73 · 414 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ -3 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5292,20237] |
[a1,a2,a3,a4,a6] |
j |
1638706400000/969236023 |
j-invariant |
L |
1.7702447128195 |
L(r)(E,1)/r! |
Ω |
0.44256117750086 |
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 |
114800x1 57400u1 |
Quadratic twists by: -4 5 |