Atkin-Lehner |
2- 3+ 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
58410t |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-466462260 = -1 · 22 · 33 · 5 · 114 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- 7 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7,1037] |
[a1,a2,a3,a4,a6] |
Generators |
[15:58:1] |
Generators of the group modulo torsion |
j |
1601613/17276380 |
j-invariant |
L |
9.3664178772864 |
L(r)(E,1)/r! |
Ω |
1.3120895200083 |
Real period |
R |
0.44615943379548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58410c1 |
Quadratic twists by: -3 |