Atkin-Lehner |
2- 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30690br |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
55373199750 = 2 · 310 · 53 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45012002,-116224732821] |
[a1,a2,a3,a4,a6] |
Generators |
[-544609884:272237003:140608] |
Generators of the group modulo torsion |
j |
13835063705411752927552729/75957750 |
j-invariant |
L |
9.0108652248571 |
L(r)(E,1)/r! |
Ω |
0.058286432299617 |
Real period |
R |
6.4415113927781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230b3 |
Quadratic twists by: -3 |