Atkin-Lehner |
3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
126075l |
Isogeny class |
Conductor |
126075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
408000 |
Modular degree for the optimal curve |
Δ |
-28856883264075 = -1 · 35 · 52 · 416 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -3 -2 1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2802,251138] |
[a1,a2,a3,a4,a6] |
Generators |
[178:2521:1] |
Generators of the group modulo torsion |
j |
20480/243 |
j-invariant |
L |
1.678269486391 |
L(r)(E,1)/r! |
Ω |
0.48978819263693 |
Real period |
R |
1.7132604240245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000197777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126075be2 75c1 |
Quadratic twists by: 5 41 |