Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50715bd |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-729026640902865375 = -1 · 311 · 53 · 76 · 234 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,201307,21835356] |
[a1,a2,a3,a4,a6] |
j |
10519294081031/8500170375 |
j-invariant |
L |
0.73556015767533 |
L(r)(E,1)/r! |
Ω |
0.18389003927211 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16905l1 1035g1 |
Quadratic twists by: -3 -7 |