Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400by |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2177280 |
Modular degree for the optimal curve |
Δ |
1562042880000 = 212 · 39 · 54 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -3 -4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39721133,96369639237] |
[a1,a2,a3,a4,a6] |
Generators |
[3627:1260:1] |
Generators of the group modulo torsion |
j |
2707376413289004966400/610173 |
j-invariant |
L |
4.6366533754028 |
L(r)(E,1)/r! |
Ω |
0.34483687813147 |
Real period |
R |
2.2409887441713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001285 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74400da1 74400x1 |
Quadratic twists by: -4 5 |