Atkin-Lehner |
2+ 3+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59280j |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-50869168020403200 = -1 · 210 · 32 · 52 · 13 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,18960,-10811088] |
[a1,a2,a3,a4,a6] |
Generators |
[7563:109340:27] |
Generators of the group modulo torsion |
j |
736064459357756/49676921894925 |
j-invariant |
L |
5.0788648818119 |
L(r)(E,1)/r! |
Ω |
0.16971778226283 |
Real period |
R |
7.4813387467748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999478 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29640x3 |
Quadratic twists by: -4 |