Atkin-Lehner |
2- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
57400q |
Isogeny class |
Conductor |
57400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-151295379200 = -1 · 28 · 52 · 73 · 413 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ -2 -1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,785,16690] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:82:1] |
Generators of the group modulo torsion |
j |
8358968880/23639903 |
j-invariant |
L |
2.9498484053495 |
L(r)(E,1)/r! |
Ω |
0.72234412108251 |
Real period |
R |
0.34030968518636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114800q1 57400n1 |
Quadratic twists by: -4 5 |