Atkin-Lehner |
2+ 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
46640f |
Isogeny class |
Conductor |
46640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-2984960 = -1 · 210 · 5 · 11 · 53 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 11- 7 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,164] |
[a1,a2,a3,a4,a6] |
Generators |
[2:8:1] |
Generators of the group modulo torsion |
j |
-19307236/2915 |
j-invariant |
L |
8.1561882110675 |
L(r)(E,1)/r! |
Ω |
2.4483518433532 |
Real period |
R |
0.83282435827506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23320d1 |
Quadratic twists by: -4 |