Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360hm |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
10321920 |
Modular degree for the optimal curve |
Δ |
1.3624381031464E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31356040,67548038900] |
[a1,a2,a3,a4,a6] |
Generators |
[2750:46080:1] |
Generators of the group modulo torsion |
j |
2426796094451411844127/969756530688000 |
j-invariant |
L |
9.4978473838753 |
L(r)(E,1)/r! |
Ω |
0.1495981111167 |
Real period |
R |
0.66134464312907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000084847 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170q1 129360dy1 |
Quadratic twists by: -4 -7 |