Atkin-Lehner |
3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70785b |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-317888861550975 = -1 · 33 · 52 · 118 · 133 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9960,-770269] |
[a1,a2,a3,a4,a6] |
Generators |
[70:481:1] [1190:15377:8] |
Generators of the group modulo torsion |
j |
2284322013/6645925 |
j-invariant |
L |
11.850365141177 |
L(r)(E,1)/r! |
Ω |
0.27868479276389 |
Real period |
R |
10.630616963085 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999479 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70785f1 6435b1 |
Quadratic twists by: -3 -11 |