Atkin-Lehner |
3- 7+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
108339i |
Isogeny class |
Conductor |
108339 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
174384 |
Modular degree for the optimal curve |
Δ |
-1542262976331 = -1 · 3 · 78 · 113 · 67 |
Discriminant |
Eigenvalues |
0 3- 1 7+ 11- 3 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-19665,-1069687] |
[a1,a2,a3,a4,a6] |
Generators |
[8517:132850:27] |
Generators of the group modulo torsion |
j |
-145895981056/267531 |
j-invariant |
L |
7.2332275841194 |
L(r)(E,1)/r! |
Ω |
0.20155635882656 |
Real period |
R |
3.987430405237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108339e1 |
Quadratic twists by: -7 |