Atkin-Lehner |
2+ 5- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53680h |
Isogeny class |
Conductor |
53680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-1889536000 = -1 · 211 · 53 · 112 · 61 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 11+ -3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,80,2100] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:20:1] [20:110:1] |
Generators of the group modulo torsion |
j |
27303838/922625 |
j-invariant |
L |
6.8479028233652 |
L(r)(E,1)/r! |
Ω |
1.1176467509481 |
Real period |
R |
0.25529469312623 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26840j1 |
Quadratic twists by: -4 |