Atkin-Lehner |
2+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
87362k |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
233280 |
Modular degree for the optimal curve |
Δ |
-216316960838 = -1 · 2 · 112 · 197 |
Discriminant |
Eigenvalues |
2+ 0 0 3 11- -1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-135262,-19113726] |
[a1,a2,a3,a4,a6] |
Generators |
[29385725:38153747:68921] |
Generators of the group modulo torsion |
j |
-48077951625/38 |
j-invariant |
L |
5.08131400123 |
L(r)(E,1)/r! |
Ω |
0.12447308021505 |
Real period |
R |
10.205648474567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87362be1 4598p1 |
Quadratic twists by: -11 -19 |