Atkin-Lehner |
2+ 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5510b |
Isogeny class |
Conductor |
5510 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
3117694648000 = 26 · 53 · 19 · 295 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 -5 2 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6308,170512] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:276:1] [-27:581:1] |
Generators of the group modulo torsion |
j |
27765553597261129/3117694648000 |
j-invariant |
L |
3.0537839582583 |
L(r)(E,1)/r! |
Ω |
0.77329077999591 |
Real period |
R |
0.3949075868038 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44080l1 49590by1 27550u1 104690w1 |
Quadratic twists by: -4 -3 5 -19 |