Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360dq |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2454321408000000 = -1 · 214 · 3 · 56 · 74 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43136,4206336] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:2750:1] |
Generators of the group modulo torsion |
j |
-902612375329/249562500 |
j-invariant |
L |
5.4076272872731 |
L(r)(E,1)/r! |
Ω |
0.43505520974527 |
Real period |
R |
1.0358124321345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000027414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16170bv2 129360ie2 |
Quadratic twists by: -4 -7 |