Atkin-Lehner |
3- 5+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
107415j |
Isogeny class |
Conductor |
107415 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
934576560225 = 38 · 52 · 72 · 112 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21488,1216842] |
[a1,a2,a3,a4,a6] |
Generators |
[110:-474:1] |
Generators of the group modulo torsion |
j |
1505099535823801/1281998025 |
j-invariant |
L |
3.0277944598299 |
L(r)(E,1)/r! |
Ω |
0.8771141176547 |
Real period |
R |
0.86299901134607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999812904 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35805d2 |
Quadratic twists by: -3 |