Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810df |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
165 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
70108416000 = 211 · 35 · 53 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -3 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1100,-6000] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:100:1] |
Generators of the group modulo torsion |
j |
3004210524049/1430784000 |
j-invariant |
L |
11.398815589164 |
L(r)(E,1)/r! |
Ω |
0.86881547633306 |
Real period |
R |
0.079514848348462 |
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 |
101430bp1 33810bv1 |
Quadratic twists by: -3 -7 |