Atkin-Lehner |
3+ 7- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
108339d |
Isogeny class |
Conductor |
108339 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-1271611561362219 = -1 · 33 · 76 · 113 · 673 |
Discriminant |
Eigenvalues |
0 3+ 3 7- 11+ -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,11891,1637523] |
[a1,a2,a3,a4,a6] |
Generators |
[282:11587:8] |
Generators of the group modulo torsion |
j |
1580352929792/10808519931 |
j-invariant |
L |
4.0866461389529 |
L(r)(E,1)/r! |
Ω |
0.35174021536791 |
Real period |
R |
3.872788268688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996208 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2211f2 |
Quadratic twists by: -7 |