Atkin-Lehner |
2- 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
58300b |
Isogeny class |
Conductor |
58300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-728750000 = -1 · 24 · 57 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 11+ -5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-1312] |
[a1,a2,a3,a4,a6] |
Generators |
[13:25:1] |
Generators of the group modulo torsion |
j |
-16384/2915 |
j-invariant |
L |
4.9633416942585 |
L(r)(E,1)/r! |
Ω |
0.71413955043383 |
Real period |
R |
0.57917504722346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000199 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11660a1 |
Quadratic twists by: 5 |