Atkin-Lehner |
3+ 7- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
118041a |
Isogeny class |
Conductor |
118041 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-354123 = -1 · 32 · 72 · 11 · 73 |
Discriminant |
Eigenvalues |
-2 3+ 0 7- 11+ 1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,12,20] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] [0:4:1] |
Generators of the group modulo torsion |
j |
3584000/7227 |
j-invariant |
L |
5.3765171032368 |
L(r)(E,1)/r! |
Ω |
2.0925719873892 |
Real period |
R |
1.2846671787707 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000761 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118041f1 |
Quadratic twists by: -7 |