Atkin-Lehner |
3+ 5- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
31005f |
Isogeny class |
Conductor |
31005 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-4541748046875 = -1 · 33 · 512 · 13 · 53 |
Discriminant |
Eigenvalues |
0 3+ 5- 2 -3 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4182,146112] |
[a1,a2,a3,a4,a6] |
Generators |
[-254:3971:8] |
Generators of the group modulo torsion |
j |
-299579459862528/168212890625 |
j-invariant |
L |
5.1980845737783 |
L(r)(E,1)/r! |
Ω |
0.71858574481712 |
Real period |
R |
2.7126640477163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
31005c2 |
Quadratic twists by: -3 |