Atkin-Lehner |
2+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
3650b |
Isogeny class |
Conductor |
3650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
1140625000 = 23 · 59 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5+ -5 3 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-375,2125] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:65:1] |
Generators of the group modulo torsion |
j |
374805361/73000 |
j-invariant |
L |
1.8497787106766 |
L(r)(E,1)/r! |
Ω |
1.4654643204296 |
Real period |
R |
0.31556188112009 |
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 |
29200l1 116800e1 32850bs1 730k1 |
Quadratic twists by: -4 8 -3 5 |