Atkin-Lehner |
2- 3- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36630bo |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
43081275600000 = 27 · 37 · 55 · 113 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- -5 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29867,1968891] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:-1926:1] |
Generators of the group modulo torsion |
j |
4041637490654569/59096400000 |
j-invariant |
L |
8.155982766644 |
L(r)(E,1)/r! |
Ω |
0.64341437013639 |
Real period |
R |
0.030181182591758 |
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 |
12210c1 |
Quadratic twists by: -3 |