Atkin-Lehner |
3- 7- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
108339l |
Isogeny class |
Conductor |
108339 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-252396057289761 = -1 · 37 · 76 · 114 · 67 |
Discriminant |
Eigenvalues |
-1 3- -3 7- 11+ 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1912,-765199] |
[a1,a2,a3,a4,a6] |
Generators |
[155:-1711:1] |
Generators of the group modulo torsion |
j |
-6570725617/2145331089 |
j-invariant |
L |
3.8500040058943 |
L(r)(E,1)/r! |
Ω |
0.24803131545222 |
Real period |
R |
1.108732129709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999909798 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2211b1 |
Quadratic twists by: -7 |