Atkin-Lehner |
2+ 3- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
94656ba |
Isogeny class |
Conductor |
94656 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-24705216 = -1 · 26 · 33 · 17 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 5 1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14927,696999] |
[a1,a2,a3,a4,a6] |
Generators |
[70:3:1] |
Generators of the group modulo torsion |
j |
-5747651544305152/386019 |
j-invariant |
L |
6.2158579755834 |
L(r)(E,1)/r! |
Ω |
1.6102147950171 |
Real period |
R |
0.6433777232321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94656m1 47328t1 |
Quadratic twists by: -4 8 |