Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800gm |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
5601052800000000 = 213 · 36 · 58 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-59208,4236912] |
[a1,a2,a3,a4,a6] |
Generators |
[42:1350:1] |
Generators of the group modulo torsion |
j |
5975305/1458 |
j-invariant |
L |
4.5171659760926 |
L(r)(E,1)/r! |
Ω |
0.40154664628077 |
Real period |
R |
0.93745148042075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999836 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350be1 58800hr1 58800jo1 |
Quadratic twists by: -4 5 -7 |