Atkin-Lehner |
3+ 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59241l |
Isogeny class |
Conductor |
59241 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-474681571763763 = -1 · 3 · 78 · 134 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- -2 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36653,2881934] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:2261:1] |
Generators of the group modulo torsion |
j |
-46287613842625/4034726787 |
j-invariant |
L |
2.6051656700788 |
L(r)(E,1)/r! |
Ω |
0.51415044138633 |
Real period |
R |
0.63336658406702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8463k2 |
Quadratic twists by: -7 |