Atkin-Lehner |
2+ 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61088a |
Isogeny class |
Conductor |
61088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43520 |
Modular degree for the optimal curve |
Δ |
-1486515392 = -1 · 26 · 234 · 83 |
Discriminant |
Eigenvalues |
2+ 3 2 -1 -1 4 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,251,-1048] |
[a1,a2,a3,a4,a6] |
Generators |
[5571:26450:729] |
Generators of the group modulo torsion |
j |
27325297728/23226803 |
j-invariant |
L |
13.007820285924 |
L(r)(E,1)/r! |
Ω |
0.83377127618025 |
Real period |
R |
3.900296357467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61088c1 122176bh1 |
Quadratic twists by: -4 8 |