Atkin-Lehner |
2+ 3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550q |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-42832125000000 = -1 · 26 · 33 · 59 · 73 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -3 2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7758,-175084] |
[a1,a2,a3,a4,a6] |
Generators |
[28:238:1] [44:478:1] |
Generators of the group modulo torsion |
j |
979146657/812224 |
j-invariant |
L |
8.3703066252984 |
L(r)(E,1)/r! |
Ω |
0.35519748532876 |
Real period |
R |
2.9456524086291 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996621 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550dk1 116550dt1 |
Quadratic twists by: -3 5 |