Atkin-Lehner |
2- 7+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
75152h |
Isogeny class |
Conductor |
75152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
547200 |
Modular degree for the optimal curve |
Δ |
494249804038144 = 231 · 73 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3 -3 7+ 11+ -4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23659,904346] |
[a1,a2,a3,a4,a6] |
Generators |
[29271:954368:27] |
Generators of the group modulo torsion |
j |
357563283664833/120666456064 |
j-invariant |
L |
8.7716106398385 |
L(r)(E,1)/r! |
Ω |
0.48208881802055 |
Real period |
R |
4.5487523825262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9394m1 |
Quadratic twists by: -4 |