Atkin-Lehner |
2+ 3+ 5- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
65790k |
Isogeny class |
Conductor |
65790 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
227328 |
Modular degree for the optimal curve |
Δ |
-23573746483200 = -1 · 216 · 39 · 52 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 2 -5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17214,-895852] |
[a1,a2,a3,a4,a6] |
Generators |
[844:23770:1] |
Generators of the group modulo torsion |
j |
-28661044066227/1197670400 |
j-invariant |
L |
3.9979148060609 |
L(r)(E,1)/r! |
Ω |
0.2078915097622 |
Real period |
R |
2.4038468495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995587 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65790bh1 |
Quadratic twists by: -3 |