Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360fv |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-9702000 = -1 · 24 · 32 · 53 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30,-153] |
[a1,a2,a3,a4,a6] |
Generators |
[9:15:1] |
Generators of the group modulo torsion |
j |
-3937024/12375 |
j-invariant |
L |
5.1725950677804 |
L(r)(E,1)/r! |
Ω |
0.93833248150048 |
Real period |
R |
0.9187566382532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997876838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32340bn1 129360fy1 |
Quadratic twists by: -4 -7 |