Atkin-Lehner |
3- 7- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
108339n |
Isogeny class |
Conductor |
108339 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
5654880 |
Modular degree for the optimal curve |
Δ |
-1354884980627554299 = -1 · 317 · 76 · 113 · 67 |
Discriminant |
Eigenvalues |
-2 3- 3 7- 11+ 5 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4711464,3935071550] |
[a1,a2,a3,a4,a6] |
Generators |
[1305:3280:1] |
Generators of the group modulo torsion |
j |
-98311244861358051328/11516332315851 |
j-invariant |
L |
5.836333021642 |
L(r)(E,1)/r! |
Ω |
0.26029134337819 |
Real period |
R |
1.3189593905723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998695671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2211d1 |
Quadratic twists by: -7 |