Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
123420u |
Isogeny class |
Conductor |
123420 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-133020684219812400 = -1 · 24 · 310 · 52 · 117 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,79215,15279750] |
[a1,a2,a3,a4,a6] |
Generators |
[-1410:89540:27] |
Generators of the group modulo torsion |
j |
1939386712064/4692919275 |
j-invariant |
L |
8.0162204058581 |
L(r)(E,1)/r! |
Ω |
0.22919042425085 |
Real period |
R |
4.3720305913523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046531 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11220f1 |
Quadratic twists by: -11 |