Atkin-Lehner |
2- 41- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
4346b |
Isogeny class |
Conductor |
4346 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
-2850976 = -1 · 25 · 412 · 53 |
Discriminant |
Eigenvalues |
2- 0 -3 2 1 4 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11,-83] |
[a1,a2,a3,a4,a6] |
Generators |
[19:72:1] |
Generators of the group modulo torsion |
j |
160103007/2850976 |
j-invariant |
L |
4.7329504541546 |
L(r)(E,1)/r! |
Ω |
1.2398576964278 |
Real period |
R |
0.38173336083575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34768d1 39114f1 108650f1 |
Quadratic twists by: -4 -3 5 |