Atkin-Lehner |
2+ 3- 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
23994h |
Isogeny class |
Conductor |
23994 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13696 |
Modular degree for the optimal curve |
Δ |
-250713306 = -1 · 2 · 37 · 31 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 3 -5 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-441,-3537] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-213:1] |
Generators of the group modulo torsion |
j |
-13027640977/343914 |
j-invariant |
L |
2.815078859457 |
L(r)(E,1)/r! |
Ω |
0.5200403988886 |
Real period |
R |
0.67664907992563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7998h1 |
Quadratic twists by: -3 |