Atkin-Lehner |
2+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
85918h |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-654351488 = -1 · 27 · 72 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- -5 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-122,1324] |
[a1,a2,a3,a4,a6] |
Generators |
[16:51:1] |
Generators of the group modulo torsion |
j |
-549754417/1812608 |
j-invariant |
L |
4.0912579966978 |
L(r)(E,1)/r! |
Ω |
1.419175327601 |
Real period |
R |
0.72071045623553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001311 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85918bg1 |
Quadratic twists by: -19 |