Atkin-Lehner |
2+ 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
522a |
Isogeny class |
Conductor |
522 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
-18265824 = -1 · 25 · 39 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -5 -4 -6 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12,-208] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] |
Generators of the group modulo torsion |
j |
9261/928 |
j-invariant |
L |
1.5670842850316 |
L(r)(E,1)/r! |
Ω |
1.0344899409754 |
Real period |
R |
0.75741881238304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4176q1 16704m1 522i1 13050z1 |
Quadratic twists by: -4 8 -3 5 |