Atkin-Lehner |
2- 5- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
31160k |
Isogeny class |
Conductor |
31160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2243272714240 = -1 · 211 · 5 · 194 · 412 |
Discriminant |
Eigenvalues |
2- -2 5- 4 0 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4720,142560] |
[a1,a2,a3,a4,a6] |
Generators |
[83:574:1] |
Generators of the group modulo torsion |
j |
-5679521710562/1095348005 |
j-invariant |
L |
4.2173330302504 |
L(r)(E,1)/r! |
Ω |
0.78767317283987 |
Real period |
R |
2.6770830692668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62320e2 |
Quadratic twists by: -4 |