Atkin-Lehner |
2- 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
107310cx |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1143709980 = -1 · 22 · 3 · 5 · 72 · 733 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 -1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-806,-9024] |
[a1,a2,a3,a4,a6] |
Generators |
[20832:129744:343] |
Generators of the group modulo torsion |
j |
-1181861087281/23341020 |
j-invariant |
L |
13.510842366611 |
L(r)(E,1)/r! |
Ω |
0.44748108733095 |
Real period |
R |
5.0321837604885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001373 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107310cm1 |
Quadratic twists by: -7 |