Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616d |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-124848 = -1 · 24 · 33 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -5 6 5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6426,198271] |
[a1,a2,a3,a4,a6] |
Generators |
[370:3:8] |
Generators of the group modulo torsion |
j |
-235052181504 |
j-invariant |
L |
4.5888690292604 |
L(r)(E,1)/r! |
Ω |
2.2220566598825 |
Real period |
R |
1.0325724613844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20808b1 41616c1 41616k1 |
Quadratic twists by: -4 -3 17 |