Atkin-Lehner |
2- 3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540r |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
170176925520 = 24 · 32 · 5 · 78 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3005,61230] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:343:1] |
Generators of the group modulo torsion |
j |
1594753024/90405 |
j-invariant |
L |
5.1966889891022 |
L(r)(E,1)/r! |
Ω |
1.0024841123983 |
Real period |
R |
0.86396862136104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000173094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220h1 |
Quadratic twists by: -7 |