Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800eu |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-6569164800 = -1 · 215 · 36 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,127,-3903] |
[a1,a2,a3,a4,a6] |
Generators |
[83:756:1] |
Generators of the group modulo torsion |
j |
274360/8019 |
j-invariant |
L |
5.6407667702115 |
L(r)(E,1)/r! |
Ω |
0.6444490750051 |
Real period |
R |
2.1882127653528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800gf1 26400bu1 52800ht1 |
Quadratic twists by: -4 8 5 |