Atkin-Lehner |
3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
49725h |
Isogeny class |
Conductor |
49725 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.3076481890622E+27 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 4 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-388391292,-2377451200509] |
[a1,a2,a3,a4,a6] |
Generators |
[-236598877792285566:-5326311127541825967:15938321274296] |
Generators of the group modulo torsion |
j |
568832774079017834683129/114800389711906640625 |
j-invariant |
L |
5.6108335677163 |
L(r)(E,1)/r! |
Ω |
0.034489062106854 |
Real period |
R |
20.335554321171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16575g2 9945j2 |
Quadratic twists by: -3 5 |