Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5200ba |
Isogeny class |
Conductor |
5200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1690000000000000000 = -1 · 216 · 516 · 132 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 2 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-304408,90051312] |
[a1,a2,a3,a4,a6] |
Generators |
[4602:310050:1] |
Generators of the group modulo torsion |
j |
-48743122863889/26406250000 |
j-invariant |
L |
4.8271812932169 |
L(r)(E,1)/r! |
Ω |
0.24704120117072 |
Real period |
R |
4.8849961770963 |
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 |
650e2 20800cr2 46800el2 1040e2 |
Quadratic twists by: -4 8 -3 5 |