Atkin-Lehner |
2- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
36400cq |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
55118336000 = 212 · 53 · 72 · 133 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -6 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3848,89908] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:390:1] [-26:416:1] |
Generators of the group modulo torsion |
j |
12310389629/107653 |
j-invariant |
L |
6.055137376084 |
L(r)(E,1)/r! |
Ω |
1.1235754260516 |
Real period |
R |
0.4490973811286 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2275g1 36400cu1 |
Quadratic twists by: -4 5 |