Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
127400ch |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
9592628864000 = 210 · 53 · 78 · 13 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51368,4461568] |
[a1,a2,a3,a4,a6] |
Generators |
[352:5488:1] |
Generators of the group modulo torsion |
j |
995432756/637 |
j-invariant |
L |
5.123776455093 |
L(r)(E,1)/r! |
Ω |
0.7198233736534 |
Real period |
R |
1.7795255807335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052673 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127400t1 18200y1 |
Quadratic twists by: 5 -7 |