Atkin-Lehner |
2+ 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
112530i |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.0857706812104E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-39942223,97132428133] |
[a1,a2,a3,a4,a6] |
Generators |
[3893:23675:1] |
Generators of the group modulo torsion |
j |
3977995745205517092049/612889243560000 |
j-invariant |
L |
3.3006636310028 |
L(r)(E,1)/r! |
Ω |
0.14992387352026 |
Real period |
R |
5.5038993572466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999593612 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10230w2 |
Quadratic twists by: -11 |