Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400r |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
154880000 = 211 · 54 · 112 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 11- -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-275,1650] |
[a1,a2,a3,a4,a6] |
Generators |
[5:20:1] |
Generators of the group modulo torsion |
j |
14850 |
j-invariant |
L |
5.0964441599912 |
L(r)(E,1)/r! |
Ω |
1.7900997296818 |
Real period |
R |
0.23725140725626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24200l1 48400h1 48400s1 |
Quadratic twists by: -4 5 -11 |