Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300t |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-1452000000 = -1 · 28 · 3 · 56 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 11- -2 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5133,-139863] |
[a1,a2,a3,a4,a6] |
Generators |
[2784:17425:27] |
Generators of the group modulo torsion |
j |
-30908416/3 |
j-invariant |
L |
3.1351808296088 |
L(r)(E,1)/r! |
Ω |
0.28201172396906 |
Real period |
R |
5.5586001629361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108900cx1 1452g1 36300s1 |
Quadratic twists by: -3 5 -11 |