Atkin-Lehner |
3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
58275be |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-826048125 = -1 · 36 · 54 · 72 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 2 -4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,220,-628] |
[a1,a2,a3,a4,a6] |
Generators |
[4:15:1] [9:-50:1] |
Generators of the group modulo torsion |
j |
2595575/1813 |
j-invariant |
L |
6.1970507748642 |
L(r)(E,1)/r! |
Ω |
0.89597681961027 |
Real period |
R |
0.57637752071579 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6475f1 58275p1 |
Quadratic twists by: -3 5 |