Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70785i |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-23084989945875 = -1 · 36 · 53 · 117 · 13 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 11- 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5808,287163] |
[a1,a2,a3,a4,a6] |
Generators |
[77:544:1] |
Generators of the group modulo torsion |
j |
-16777216/17875 |
j-invariant |
L |
2.8951627703071 |
L(r)(E,1)/r! |
Ω |
0.61431312078172 |
Real period |
R |
0.58910567607371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7865d1 6435i1 |
Quadratic twists by: -3 -11 |