Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200cw |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
11854080000000 = 214 · 33 · 57 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42075,-3317750] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:42:1] |
Generators of the group modulo torsion |
j |
4767078987/6860 |
j-invariant |
L |
5.4420073661317 |
L(r)(E,1)/r! |
Ω |
0.33337348544649 |
Real period |
R |
1.3603379801994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3150w1 100800jo1 25200cx3 5040u1 |
Quadratic twists by: -4 8 -3 5 |