Atkin-Lehner |
2+ 3- 5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78390o |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-1504376610750 = -1 · 2 · 312 · 53 · 132 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -5 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12285,530491] |
[a1,a2,a3,a4,a6] |
Generators |
[65:26:1] |
Generators of the group modulo torsion |
j |
-281281747415761/2063616750 |
j-invariant |
L |
4.4725577811291 |
L(r)(E,1)/r! |
Ω |
0.85329339765989 |
Real period |
R |
1.3103809877587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26130r1 |
Quadratic twists by: -3 |