Atkin-Lehner |
2+ 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680bt |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-306869517360 = -1 · 24 · 38 · 5 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,78,26651] |
[a1,a2,a3,a4,a6] |
j |
4499456/26309115 |
j-invariant |
L |
3.0510858575667 |
L(r)(E,1)/r! |
Ω |
0.76277148247216 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840cm1 28560b1 |
Quadratic twists by: -4 -3 |