Atkin-Lehner |
2- 3+ 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
93450ca |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-1576968750000 = -1 · 24 · 34 · 59 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -1 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-938,61031] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-233:1] |
Generators of the group modulo torsion |
j |
-5841725401/100926000 |
j-invariant |
L |
10.164114818061 |
L(r)(E,1)/r! |
Ω |
0.71305016389261 |
Real period |
R |
0.89090110009423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18690i1 |
Quadratic twists by: 5 |