Atkin-Lehner |
2+ 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810q |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
68189360400 = 24 · 32 · 52 · 77 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1152,-8784] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:81:1] |
Generators of the group modulo torsion |
j |
1439069689/579600 |
j-invariant |
L |
3.6150863977086 |
L(r)(E,1)/r! |
Ω |
0.84853805585765 |
Real period |
R |
0.53254629723926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430eh1 4830k1 |
Quadratic twists by: -3 -7 |