Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
3680i |
Isogeny class |
Conductor |
3680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-471040 = -1 · 212 · 5 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ -5 -2 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19,-5] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] |
Generators of the group modulo torsion |
j |
175616/115 |
j-invariant |
L |
1.8518997476312 |
L(r)(E,1)/r! |
Ω |
1.6870485090726 |
Real period |
R |
0.54885788336023 |
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 |
3680f1 7360ba1 33120p1 18400c1 |
Quadratic twists by: -4 8 -3 5 |