Atkin-Lehner |
2+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
46480f |
Isogeny class |
Conductor |
46480 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-3024546560 = -1 · 28 · 5 · 73 · 832 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -3 5 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,335,-1315] |
[a1,a2,a3,a4,a6] |
Generators |
[106:581:8] |
Generators of the group modulo torsion |
j |
16192769024/11814635 |
j-invariant |
L |
5.4607171407095 |
L(r)(E,1)/r! |
Ω |
0.79935875242325 |
Real period |
R |
1.1385620294924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23240e1 |
Quadratic twists by: -4 |