Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090dd |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1.5367554417783E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3412590,-1526860650] |
[a1,a2,a3,a4,a6] |
Generators |
[-1225479970:-30704953219:2197000] |
Generators of the group modulo torsion |
j |
29689921233686449/10380965400750 |
j-invariant |
L |
15.522307845793 |
L(r)(E,1)/r! |
Ω |
0.11426435656803 |
Real period |
R |
11.320465021994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000062684 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
210a7 |
Quadratic twists by: -23 |