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 |
Δ |
12698215069590765 = 33 · 5 · 117 · 136 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-89865,-8816164] |
[a1,a2,a3,a4,a6] |
Generators |
[-184:1302:1] [2950:21273:8] |
Generators of the group modulo torsion |
j |
1677947202387/265474495 |
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 |
70785f2 6435b2 |
Quadratic twists by: -3 -11 |