Atkin-Lehner |
2- 3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560bz |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-631598990711040 = -1 · 28 · 37 · 5 · 11 · 295 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -3 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20724,385704] |
[a1,a2,a3,a4,a6] |
j |
3844886653219376/2467183557465 |
j-invariant |
L |
2.2386197314643 |
L(r)(E,1)/r! |
Ω |
0.31980282117204 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19140a1 |
Quadratic twists by: -4 |