Atkin-Lehner |
2- 5+ 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
121360t |
Isogeny class |
Conductor |
121360 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1123200 |
Modular degree for the optimal curve |
Δ |
-585701907318702080 = -1 · 225 · 5 · 373 · 413 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -6 -1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12136,-36820624] |
[a1,a2,a3,a4,a6] |
Generators |
[740:-18944:1] [2788:146944:1] |
Generators of the group modulo torsion |
j |
-48264326765929/142993629716480 |
j-invariant |
L |
7.3761960313208 |
L(r)(E,1)/r! |
Ω |
0.13165554447179 |
Real period |
R |
1.5562909639899 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15170b1 |
Quadratic twists by: -4 |