Atkin-Lehner |
2+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41624c |
Isogeny class |
Conductor |
41624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
2999573553093392 = 24 · 119 · 433 |
Discriminant |
Eigenvalues |
2+ -2 -2 -1 11+ 2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36824,-686303] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:1331:1] |
Generators of the group modulo torsion |
j |
146377472/79507 |
j-invariant |
L |
2.5968849123251 |
L(r)(E,1)/r! |
Ω |
0.36757431599454 |
Real period |
R |
1.7662312077631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83248g1 41624j1 |
Quadratic twists by: -4 -11 |