Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
7140n |
Isogeny class |
Conductor |
7140 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
309395192400 = 24 · 33 · 52 · 73 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2605,-44500] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:51:1] |
Generators of the group modulo torsion |
j |
122234448510976/19337199525 |
j-invariant |
L |
5.0733940128359 |
L(r)(E,1)/r! |
Ω |
0.67537469631685 |
Real period |
R |
0.41733163008982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560db1 114240l1 21420j1 35700l1 |
Quadratic twists by: -4 8 -3 5 |