Atkin-Lehner |
2+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
46480c |
Isogeny class |
Conductor |
46480 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-91100800000 = -1 · 210 · 55 · 73 · 83 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 -4 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73256,-7607200] |
[a1,a2,a3,a4,a6] |
Generators |
[74298:3877154:27] |
Generators of the group modulo torsion |
j |
-42457976023734436/88965625 |
j-invariant |
L |
8.25241522989 |
L(r)(E,1)/r! |
Ω |
0.1450969254788 |
Real period |
R |
9.4791983619038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999932 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23240b1 |
Quadratic twists by: -4 |