Atkin-Lehner |
2+ 11- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
68816f |
Isogeny class |
Conductor |
68816 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
37120 |
Modular degree for the optimal curve |
Δ |
-5862022144 = -1 · 210 · 114 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 2 2 0 11- 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-192,-3760] |
[a1,a2,a3,a4,a6] |
Generators |
[1128:6580:27] |
Generators of the group modulo torsion |
j |
-768400132/5724631 |
j-invariant |
L |
11.609239778789 |
L(r)(E,1)/r! |
Ω |
0.56692729697506 |
Real period |
R |
5.1193688506458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34408c1 |
Quadratic twists by: -4 |