Atkin-Lehner |
2- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
118096w |
Isogeny class |
Conductor |
118096 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
68640 |
Modular degree for the optimal curve |
Δ |
-27664696576 = -1 · 28 · 116 · 61 |
Discriminant |
Eigenvalues |
2- 0 -3 -3 11- -1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,121,7986] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:76:1] |
Generators of the group modulo torsion |
j |
432/61 |
j-invariant |
L |
3.1576991667631 |
L(r)(E,1)/r! |
Ω |
0.9114311867301 |
Real period |
R |
3.4645503406089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998047179 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29524f1 976c1 |
Quadratic twists by: -4 -11 |