Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400cd |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-261120000000000 = -1 · 219 · 3 · 510 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -6 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9792,678912] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:576:1] |
Generators of the group modulo torsion |
j |
2595575/6528 |
j-invariant |
L |
3.5907009486949 |
L(r)(E,1)/r! |
Ω |
0.38601401705211 |
Real period |
R |
2.325499068736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2550bc1 81600in1 61200em1 20400do1 |
Quadratic twists by: -4 8 -3 5 |