Atkin-Lehner |
3+ 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905m |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
303066225 = 33 · 52 · 74 · 11 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11+ -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28067,1816834] |
[a1,a2,a3,a4,a6] |
Generators |
[98:-32:1] |
Generators of the group modulo torsion |
j |
90559376847983763/11224675 |
j-invariant |
L |
3.9338350900891 |
L(r)(E,1)/r! |
Ω |
1.3391191272823 |
Real period |
R |
0.73440723269203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000101 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58905g1 |
Quadratic twists by: -3 |