Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
3480g |
Isogeny class |
Conductor |
3480 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-2370610800 = -1 · 24 · 35 · 52 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -3 3 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4036,97385] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:435:1] |
Generators of the group modulo torsion |
j |
-454532354823424/148163175 |
j-invariant |
L |
3.9533905023736 |
L(r)(E,1)/r! |
Ω |
1.4238666788499 |
Real period |
R |
0.046275288750662 |
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 |
6960e1 27840t1 10440w1 17400bb1 |
Quadratic twists by: -4 8 -3 5 |