Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
31200v |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3080025000000000 = 29 · 36 · 511 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-830408,290974188] |
[a1,a2,a3,a4,a6] |
Generators |
[2863:146250:1] |
Generators of the group modulo torsion |
j |
7916055336451592/385003125 |
j-invariant |
L |
7.7394431661554 |
L(r)(E,1)/r! |
Ω |
0.4238488454671 |
Real period |
R |
1.5216594408057 |
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 |
31200g2 62400ef2 93600eb2 6240v2 |
Quadratic twists by: -4 8 -3 5 |