Atkin-Lehner |
2+ 3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150c |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
87091200 |
Modular degree for the optimal curve |
Δ |
1.337258769352E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2149647792,38358311439616] |
[a1,a2,a3,a4,a6] |
Generators |
[9362787:41979169:343] |
Generators of the group modulo torsion |
j |
2604005211043575444252480003/316979856438984704000 |
j-invariant |
L |
3.6238671858559 |
L(r)(E,1)/r! |
Ω |
0.056183908858117 |
Real period |
R |
8.0625110813119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000231179 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150cb3 25830x1 |
Quadratic twists by: -3 5 |