Atkin-Lehner |
5+ 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
86275f |
Isogeny class |
Conductor |
86275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
681984 |
Modular degree for the optimal curve |
Δ |
-37775131296875 = -1 · 56 · 73 · 172 · 293 |
Discriminant |
Eigenvalues |
-2 3 5+ 7- 6 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1525,-296594] |
[a1,a2,a3,a4,a6] |
j |
-25102282752/2417608403 |
j-invariant |
L |
3.4446847962688 |
L(r)(E,1)/r! |
Ω |
0.2870570549673 |
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 |
3451c1 |
Quadratic twists by: 5 |