Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688bu |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-36339829714944 = -1 · 212 · 34 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 3 2 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7317,379485] |
[a1,a2,a3,a4,a6] |
Generators |
[180:2205:1] |
Generators of the group modulo torsion |
j |
-1835008/1539 |
j-invariant |
L |
5.8876561400379 |
L(r)(E,1)/r! |
Ω |
0.59624163541121 |
Real period |
R |
1.6457690390309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999871 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2793g1 44688cy1 |
Quadratic twists by: -4 -7 |