Atkin-Lehner |
2- 3- 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
70950ca |
Isogeny class |
Conductor |
70950 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-121375584000 = -1 · 28 · 36 · 53 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-178,16772] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:134:1] |
Generators of the group modulo torsion |
j |
-4991443829/971004672 |
j-invariant |
L |
12.338341661575 |
L(r)(E,1)/r! |
Ω |
0.85465012390211 |
Real period |
R |
0.30076492990607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000253 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70950j1 |
Quadratic twists by: 5 |