Atkin-Lehner |
2- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070cg |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
9602221492864000 = 210 · 53 · 79 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1664172,-825884881] |
[a1,a2,a3,a4,a6] |
Generators |
[-743:461:1] |
Generators of the group modulo torsion |
j |
12630941953088103/237952000 |
j-invariant |
L |
9.8449935754467 |
L(r)(E,1)/r! |
Ω |
0.1329231159371 |
Real period |
R |
2.4688441146965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000806 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70070bs1 |
Quadratic twists by: -7 |