Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800jo |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2177280 |
Modular degree for the optimal curve |
Δ |
6.589582608672E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2901208,-1447458412] |
[a1,a2,a3,a4,a6] |
Generators |
[-988:21342:1] |
Generators of the group modulo torsion |
j |
5975305/1458 |
j-invariant |
L |
8.0753295031851 |
L(r)(E,1)/r! |
Ω |
0.11773731842891 |
Real period |
R |
5.7156399875902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350o1 58800fh1 58800gm1 |
Quadratic twists by: -4 5 -7 |