Atkin-Lehner |
2+ 3- 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310m |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
230632108827667560 = 23 · 310 · 5 · 134 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-214110,30389580] |
[a1,a2,a3,a4,a6] |
Generators |
[117:2574:1] |
Generators of the group modulo torsion |
j |
1489046222513172961/316367776169640 |
j-invariant |
L |
4.4476224743059 |
L(r)(E,1)/r! |
Ω |
0.29656988532686 |
Real period |
R |
1.874609786067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770bf3 |
Quadratic twists by: -3 |