Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36900h |
Isogeny class |
Conductor |
36900 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
1116690401250000 = 24 · 312 · 57 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-270300,54066125] |
[a1,a2,a3,a4,a6] |
Generators |
[115:4950:1] |
Generators of the group modulo torsion |
j |
11983793373184/6127245 |
j-invariant |
L |
5.1630463397115 |
L(r)(E,1)/r! |
Ω |
0.48274544459362 |
Real period |
R |
2.6737934026798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12300g1 7380h1 |
Quadratic twists by: -3 5 |