Atkin-Lehner |
2- 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
46640n |
Isogeny class |
Conductor |
46640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-3056599040 = -1 · 220 · 5 · 11 · 53 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 11- -3 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,144,-2624] |
[a1,a2,a3,a4,a6] |
Generators |
[18:74:1] [40:256:1] |
Generators of the group modulo torsion |
j |
80062991/746240 |
j-invariant |
L |
7.0143382730943 |
L(r)(E,1)/r! |
Ω |
0.70335363928283 |
Real period |
R |
2.4931762208011 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5830c1 |
Quadratic twists by: -4 |