Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800bw |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-5068800000000 = -1 · 217 · 32 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11- 1 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8833,-334463] |
[a1,a2,a3,a4,a6] |
Generators |
[511:11328:1] |
Generators of the group modulo torsion |
j |
-1488770/99 |
j-invariant |
L |
4.9991605566054 |
L(r)(E,1)/r! |
Ω |
0.2452868513592 |
Real period |
R |
5.0952186480484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998789 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800hm1 6600be1 52800cy1 |
Quadratic twists by: -4 8 5 |