Atkin-Lehner |
5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
50575be |
Isogeny class |
Conductor |
50575 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
936360 |
Modular degree for the optimal curve |
Δ |
-19074336752734375 = -1 · 58 · 7 · 178 |
Discriminant |
Eigenvalues |
1 -2 5- 7+ 3 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2622826,1634736423] |
[a1,a2,a3,a4,a6] |
Generators |
[891:1866:1] |
Generators of the group modulo torsion |
j |
-732285625/7 |
j-invariant |
L |
5.2228507106174 |
L(r)(E,1)/r! |
Ω |
0.34865403908261 |
Real period |
R |
1.6644486527479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50575w1 50575bg1 |
Quadratic twists by: 5 17 |