Atkin-Lehner |
2+ 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36176f |
Isogeny class |
Conductor |
36176 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
167277824 = 28 · 7 · 173 · 19 |
Discriminant |
Eigenvalues |
2+ 0 -3 7+ -2 -3 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-164,-516] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:17:1] |
Generators of the group modulo torsion |
j |
1905527808/653429 |
j-invariant |
L |
2.6146837914239 |
L(r)(E,1)/r! |
Ω |
1.3713133971869 |
Real period |
R |
0.63556679720012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18088d1 |
Quadratic twists by: -4 |