Atkin-Lehner |
2+ 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
9176c |
Isogeny class |
Conductor |
9176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-1174528 = -1 · 210 · 31 · 37 |
Discriminant |
Eigenvalues |
2+ 0 -2 1 0 -1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11,54] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:8:1] |
Generators of the group modulo torsion |
j |
-143748/1147 |
j-invariant |
L |
3.7097462137267 |
L(r)(E,1)/r! |
Ω |
2.3489472917475 |
Real period |
R |
0.78966144254493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18352c1 73408j1 82584m1 |
Quadratic twists by: -4 8 -3 |