Atkin-Lehner |
2- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
44770v |
Isogeny class |
Conductor |
44770 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
66240 |
Modular degree for the optimal curve |
Δ |
-28841013080 = -1 · 23 · 5 · 117 · 37 |
Discriminant |
Eigenvalues |
2- 3 5- -1 11- -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-507,-9149] |
[a1,a2,a3,a4,a6] |
Generators |
[1335:7184:27] |
Generators of the group modulo torsion |
j |
-8120601/16280 |
j-invariant |
L |
16.49254071211 |
L(r)(E,1)/r! |
Ω |
0.47271466800825 |
Real period |
R |
2.9074164304337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4070c1 |
Quadratic twists by: -11 |