Atkin-Lehner |
2+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
87362p |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-216316960838 = -1 · 2 · 112 · 197 |
Discriminant |
Eigenvalues |
2+ -1 0 1 11- 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2895,62803] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:210:1] |
Generators of the group modulo torsion |
j |
-471625/38 |
j-invariant |
L |
3.0803707785212 |
L(r)(E,1)/r! |
Ω |
0.97780888767502 |
Real period |
R |
1.575139482409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026187 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87362bn1 4598m1 |
Quadratic twists by: -11 -19 |