Atkin-Lehner |
2- 3- 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31020m |
Isogeny class |
Conductor |
31020 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
918254466835200 = 28 · 35 · 52 · 112 · 474 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24300,-24300] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:990:1] |
Generators of the group modulo torsion |
j |
6198982919179216/3586931511075 |
j-invariant |
L |
7.733643918897 |
L(r)(E,1)/r! |
Ω |
0.41940719966449 |
Real period |
R |
1.843946390306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080bn2 93060i2 |
Quadratic twists by: -4 -3 |