Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400gl |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-219375000000000000 = -1 · 212 · 33 · 516 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-196633,-40490137] |
[a1,a2,a3,a4,a6] |
Generators |
[1199:38064:1] |
Generators of the group modulo torsion |
j |
-13137573612736/3427734375 |
j-invariant |
L |
7.4045777990359 |
L(r)(E,1)/r! |
Ω |
0.11183117796427 |
Real period |
R |
5.517675492168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400ef1 31200g1 12480cg1 |
Quadratic twists by: -4 8 5 |