Atkin-Lehner |
2- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127600bq |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
-20905984000 = -1 · 219 · 53 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 0 5- 3 11- -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,85,-6950] |
[a1,a2,a3,a4,a6] |
Generators |
[21:64:1] [135:1570:1] |
Generators of the group modulo torsion |
j |
132651/40832 |
j-invariant |
L |
12.554850381974 |
L(r)(E,1)/r! |
Ω |
0.56916514154731 |
Real period |
R |
2.757295173986 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984538 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15950p1 127600br1 |
Quadratic twists by: -4 5 |