Atkin-Lehner |
3+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
13083d |
Isogeny class |
Conductor |
13083 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
21840 |
Modular degree for the optimal curve |
Δ |
6109092210123 = 35 · 710 · 89 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- -3 4 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4852,50714] |
[a1,a2,a3,a4,a6] |
Generators |
[64:54:1] |
Generators of the group modulo torsion |
j |
44720977/21627 |
j-invariant |
L |
2.9930263171445 |
L(r)(E,1)/r! |
Ω |
0.67197672100306 |
Real period |
R |
4.4540625048391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39249h1 13083e1 |
Quadratic twists by: -3 -7 |