Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360gg |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
1.0603579786297E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3139936,1458997364] |
[a1,a2,a3,a4,a6] |
Generators |
[452:11502:1] |
Generators of the group modulo torsion |
j |
20713044141847/6415200000 |
j-invariant |
L |
8.6703966898232 |
L(r)(E,1)/r! |
Ω |
0.14388406371961 |
Real period |
R |
5.021633633757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005189 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bi1 129360fg1 |
Quadratic twists by: -4 -7 |