Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84966cl |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1233792 |
Modular degree for the optimal curve |
Δ |
-315145300675664256 = -1 · 27 · 3 · 76 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -3 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,35107,26893304] |
[a1,a2,a3,a4,a6] |
j |
5831/384 |
j-invariant |
L |
0.93261645675641 |
L(r)(E,1)/r! |
Ω |
0.23315413101221 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1734d1 84966q1 |
Quadratic twists by: -7 17 |