Atkin-Lehner |
2+ 7- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
57722f |
Isogeny class |
Conductor |
57722 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-122832416 = -1 · 25 · 73 · 192 · 31 |
Discriminant |
Eigenvalues |
2+ -1 1 7- 0 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,108,-272] |
[a1,a2,a3,a4,a6] |
Generators |
[3:8:1] [62:235:8] |
Generators of the group modulo torsion |
j |
400315553/358112 |
j-invariant |
L |
6.4371633321397 |
L(r)(E,1)/r! |
Ω |
1.0213823300617 |
Real period |
R |
1.575600816336 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57722m1 |
Quadratic twists by: -7 |