Atkin-Lehner |
2- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
70720bm |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1250329600000000 = -1 · 216 · 58 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 2 5- 2 2 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,255,-1701343] |
[a1,a2,a3,a4,a6] |
Generators |
[8602:281775:8] |
Generators of the group modulo torsion |
j |
27871484/19078515625 |
j-invariant |
L |
11.833132972499 |
L(r)(E,1)/r! |
Ω |
0.22268866238055 |
Real period |
R |
3.3210977287449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990792 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720s2 17680a2 |
Quadratic twists by: -4 8 |