Atkin-Lehner |
2+ 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
3480b |
Isogeny class |
Conductor |
3480 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
8736 |
Modular degree for the optimal curve |
Δ |
-27187500000000 = -1 · 28 · 3 · 513 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -5 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6385,320725] |
[a1,a2,a3,a4,a6] |
Generators |
[345:-6250:1] |
Generators of the group modulo torsion |
j |
-112469423174656/106201171875 |
j-invariant |
L |
3.2731629610984 |
L(r)(E,1)/r! |
Ω |
0.60842776045164 |
Real period |
R |
0.10345590002806 |
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 |
6960s1 27840bi1 10440r1 17400bm1 |
Quadratic twists by: -4 8 -3 5 |