Atkin-Lehner |
2+ 11- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91234l |
Isogeny class |
Conductor |
91234 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16704 |
Modular degree for the optimal curve |
Δ |
-1186042 = -1 · 2 · 112 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ -2 0 -4 11- 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,19,42] |
[a1,a2,a3,a4,a6] |
Generators |
[0:6:1] |
Generators of the group modulo torsion |
j |
6755375/9802 |
j-invariant |
L |
1.7601428947347 |
L(r)(E,1)/r! |
Ω |
1.8554152585769 |
Real period |
R |
0.47432586495318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999498 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91234u1 |
Quadratic twists by: -11 |