Atkin-Lehner |
2+ 3- 5- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
34170m |
Isogeny class |
Conductor |
34170 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-11153088000 = -1 · 29 · 32 · 53 · 172 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -5 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8878,321248] |
[a1,a2,a3,a4,a6] |
Generators |
[64:95:1] |
Generators of the group modulo torsion |
j |
-77374670500969561/11153088000 |
j-invariant |
L |
5.5200367462943 |
L(r)(E,1)/r! |
Ω |
1.2330882845291 |
Real period |
R |
0.37304957638686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102510n1 |
Quadratic twists by: -3 |