Atkin-Lehner |
2+ 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
65450r |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2976000 |
Modular degree for the optimal curve |
Δ |
-9078931049890625000 = -1 · 23 · 59 · 710 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- 11- 3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,457508,82523416] |
[a1,a2,a3,a4,a6] |
Generators |
[519:-21697:1] |
Generators of the group modulo torsion |
j |
5422370850336987/4648412697544 |
j-invariant |
L |
2.9012974299128 |
L(r)(E,1)/r! |
Ω |
0.15000621063327 |
Real period |
R |
0.48352955155206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986613 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65450bg1 |
Quadratic twists by: 5 |