Atkin-Lehner |
2- 5+ 23+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
90850l |
Isogeny class |
Conductor |
90850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
133632 |
Modular degree for the optimal curve |
Δ |
-1044775000000 = -1 · 26 · 58 · 232 · 79 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 0 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-505,49497] |
[a1,a2,a3,a4,a6] |
Generators |
[49:350:1] |
Generators of the group modulo torsion |
j |
-909853209/66865600 |
j-invariant |
L |
11.687047490352 |
L(r)(E,1)/r! |
Ω |
0.72166680233691 |
Real period |
R |
1.3495433354055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007381 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18170a1 |
Quadratic twists by: 5 |