Atkin-Lehner |
2- 3+ 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650bk |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-9.772486189056E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,13382537,43675720781] |
[a1,a2,a3,a4,a6] |
Generators |
[-635:187192:1] |
Generators of the group modulo torsion |
j |
16963639809135720449111/62543911609958400000 |
j-invariant |
L |
8.3200273865282 |
L(r)(E,1)/r! |
Ω |
0.062542814988514 |
Real period |
R |
2.7714439128168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997494 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11730e1 |
Quadratic twists by: 5 |