Atkin-Lehner |
2+ 3+ 5- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310f |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1255737600 = 28 · 33 · 52 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -4 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4403199,-3555217395] |
[a1,a2,a3,a4,a6] |
Generators |
[2449:17349:1] |
Generators of the group modulo torsion |
j |
349675290386889770596203/46508800 |
j-invariant |
L |
3.4206704010194 |
L(r)(E,1)/r! |
Ω |
0.10422153653245 |
Real period |
R |
8.205286821687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000107 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50310bl2 |
Quadratic twists by: -3 |