Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240cb |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-111257763840 = -1 · 214 · 310 · 5 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -6 2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7248,-238048] |
[a1,a2,a3,a4,a6] |
Generators |
[7218589:64536795:50653] |
Generators of the group modulo torsion |
j |
-3525581824/9315 |
j-invariant |
L |
5.8868596694754 |
L(r)(E,1)/r! |
Ω |
0.25867012937222 |
Real period |
R |
11.379086722481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66240ep1 8280n1 22080p1 |
Quadratic twists by: -4 8 -3 |