Atkin-Lehner |
2+ 11- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107822j |
Isogeny class |
Conductor |
107822 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1724244683744573848 = -1 · 23 · 11 · 1312 · 292 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-145006,66643800] |
[a1,a2,a3,a4,a6] |
Generators |
[180:6720:1] [326:7188:1] |
Generators of the group modulo torsion |
j |
-69858171006625/357222480472 |
j-invariant |
L |
5.9145589169681 |
L(r)(E,1)/r! |
Ω |
0.23001547150315 |
Real period |
R |
12.856871921601 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004671 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8294d2 |
Quadratic twists by: 13 |