Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
8050k |
Isogeny class |
Conductor |
8050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-824320000000000 = -1 · 219 · 510 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 -1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,23008,316416] |
[a1,a2,a3,a4,a6] |
Generators |
[10283:1037683:1] |
Generators of the group modulo torsion |
j |
137927116575/84410368 |
j-invariant |
L |
2.8590959265352 |
L(r)(E,1)/r! |
Ω |
0.30925249275108 |
Real period |
R |
9.2451831223767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64400bb1 72450ef1 8050s1 56350m1 |
Quadratic twists by: -4 -3 5 -7 |