Atkin-Lehner |
2+ 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
109330l |
Isogeny class |
Conductor |
109330 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-42471872177702500 = -1 · 22 · 54 · 134 · 296 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 0 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-56084,-11141660] |
[a1,a2,a3,a4,a6] |
Generators |
[399:5267:1] |
Generators of the group modulo torsion |
j |
-32798729601/71402500 |
j-invariant |
L |
4.8560936730154 |
L(r)(E,1)/r! |
Ω |
0.14528002488689 |
Real period |
R |
1.044554655202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064464 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
130b4 |
Quadratic twists by: 29 |