Atkin-Lehner |
2- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72670u |
Isogeny class |
Conductor |
72670 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
56160 |
Modular degree for the optimal curve |
Δ |
-8302111480 = -1 · 23 · 5 · 136 · 43 |
Discriminant |
Eigenvalues |
2- 0 5- -1 4 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3412,77679] |
[a1,a2,a3,a4,a6] |
Generators |
[39:33:1] |
Generators of the group modulo torsion |
j |
-909853209/1720 |
j-invariant |
L |
10.351785333881 |
L(r)(E,1)/r! |
Ω |
1.3102299035662 |
Real period |
R |
2.6335798789804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
430a1 |
Quadratic twists by: 13 |