Atkin-Lehner |
2- 3- 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
93450cw |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
495 |
Product of Tamagawa factors cp |
deg |
997920 |
Modular degree for the optimal curve |
Δ |
-22427089100236800 = -1 · 211 · 315 · 52 · 73 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 0 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3627,-7204383] |
[a1,a2,a3,a4,a6] |
Generators |
[198:1035:1] |
Generators of the group modulo torsion |
j |
211066294876295/897083564009472 |
j-invariant |
L |
15.179628016681 |
L(r)(E,1)/r! |
Ω |
0.17649471860405 |
Real period |
R |
0.17374976107249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93450q1 |
Quadratic twists by: 5 |