Atkin-Lehner |
2- 3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540q |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
4254423138000 = 24 · 32 · 53 · 78 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83365,9291850] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:3430:1] |
Generators of the group modulo torsion |
j |
34038621405184/2260125 |
j-invariant |
L |
6.8912209355602 |
L(r)(E,1)/r! |
Ω |
0.73906592204933 |
Real period |
R |
1.554038403547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999736691 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220i1 |
Quadratic twists by: -7 |