Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57200n |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-4576000000 = -1 · 211 · 56 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5+ 1 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3608,-82288] |
[a1,a2,a3,a4,a6] |
Generators |
[20496:562508:27] |
Generators of the group modulo torsion |
j |
-162365474/143 |
j-invariant |
L |
9.4372210003214 |
L(r)(E,1)/r! |
Ω |
0.3079781880058 |
Real period |
R |
7.6606244921156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28600d1 2288d1 |
Quadratic twists by: -4 5 |