Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68952x |
Isogeny class |
Conductor |
68952 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-637668096 = -1 · 28 · 3 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 -4 13+ 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17,1221] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:34:1] |
Generators of the group modulo torsion |
j |
-13312/14739 |
j-invariant |
L |
2.2579984726142 |
L(r)(E,1)/r! |
Ω |
1.3078409406015 |
Real period |
R |
0.2877514131413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985893 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68952j1 |
Quadratic twists by: 13 |