Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36900r |
Isogeny class |
Conductor |
36900 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-367634700000000 = -1 · 28 · 37 · 58 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -4 -5 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30000,2202500] |
[a1,a2,a3,a4,a6] |
Generators |
[100:-450:1] [-100:2050:1] |
Generators of the group modulo torsion |
j |
-40960000/5043 |
j-invariant |
L |
8.0403056534345 |
L(r)(E,1)/r! |
Ω |
0.52107526956075 |
Real period |
R |
0.21430860065073 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12300j1 36900g1 |
Quadratic twists by: -3 5 |