Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050ei |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-1330570800 = -1 · 24 · 39 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -6 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,85,1707] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:30:1] |
Generators of the group modulo torsion |
j |
22295/432 |
j-invariant |
L |
9.0736635599574 |
L(r)(E,1)/r! |
Ω |
1.1384888155507 |
Real period |
R |
0.49811993299853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995702 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350b1 76050cm1 76050bf1 |
Quadratic twists by: -3 5 13 |