Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360bh |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
3064320 |
Modular degree for the optimal curve |
Δ |
-1.712145897E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 0 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1880440,1012911712] |
[a1,a2,a3,a4,a6] |
Generators |
[1454:36750:1] |
Generators of the group modulo torsion |
j |
-124571332105444/2900390625 |
j-invariant |
L |
7.3288052617936 |
L(r)(E,1)/r! |
Ω |
0.21894027961564 |
Real period |
R |
0.55789988022561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998844911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64680bb1 129360bz1 |
Quadratic twists by: -4 -7 |