Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360fs |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-937494997824000000 = -1 · 212 · 3 · 56 · 79 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69400,-47090000] |
[a1,a2,a3,a4,a6] |
Generators |
[450:3550:1] |
Generators of the group modulo torsion |
j |
-223648543/5671875 |
j-invariant |
L |
5.4117457875555 |
L(r)(E,1)/r! |
Ω |
0.12098933045622 |
Real period |
R |
3.7274262454448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000021882 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8085v2 129360gq2 |
Quadratic twists by: -4 -7 |