Atkin-Lehner |
2+ 5+ 31+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
91450a |
Isogeny class |
Conductor |
91450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
-12733498000000 = -1 · 27 · 56 · 31 · 593 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 -2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5192,-222784] |
[a1,a2,a3,a4,a6] |
Generators |
[5763:75181:27] |
Generators of the group modulo torsion |
j |
-990728800209/814943872 |
j-invariant |
L |
3.3389781004634 |
L(r)(E,1)/r! |
Ω |
0.27171244494746 |
Real period |
R |
6.1443230874693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3658b1 |
Quadratic twists by: 5 |