Atkin-Lehner |
2- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
57400o |
Isogeny class |
Conductor |
57400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-1836800 = -1 · 28 · 52 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 2 7 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-628,-6272] |
[a1,a2,a3,a4,a6] |
Generators |
[162:2042:1] |
Generators of the group modulo torsion |
j |
-4286610640/287 |
j-invariant |
L |
8.2170929886245 |
L(r)(E,1)/r! |
Ω |
0.4767824813168 |
Real period |
R |
4.3086172997887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114800o1 57400m1 |
Quadratic twists by: -4 5 |