Atkin-Lehner |
2- 11- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
84656z |
Isogeny class |
Conductor |
84656 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
-88676428117049344 = -1 · 217 · 113 · 135 · 372 |
Discriminant |
Eigenvalues |
2- 0 -1 -1 11- 13- 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32741003,72108438586] |
[a1,a2,a3,a4,a6] |
Generators |
[1413:169312:1] |
Generators of the group modulo torsion |
j |
-947631967905049551189729/21649518583264 |
j-invariant |
L |
5.5721631764607 |
L(r)(E,1)/r! |
Ω |
0.24612324763692 |
Real period |
R |
0.18866439310829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10582f1 |
Quadratic twists by: -4 |