Atkin-Lehner |
2+ 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89590h |
Isogeny class |
Conductor |
89590 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-3046060 = -1 · 22 · 5 · 173 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5- -5 1 -1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2,-84] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-21:1] |
Generators of the group modulo torsion |
j |
343/620 |
j-invariant |
L |
2.6098490793494 |
L(r)(E,1)/r! |
Ω |
1.1759705084194 |
Real period |
R |
0.55482877149998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999590901 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89590a1 |
Quadratic twists by: 17 |