Atkin-Lehner |
2+ 3+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
77550f |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-12455135859375000 = -1 · 23 · 38 · 510 · 11 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 3 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,50925,-3022875] |
[a1,a2,a3,a4,a6] |
Generators |
[24555:465501:125] |
Generators of the group modulo torsion |
j |
1495558675775/1275405912 |
j-invariant |
L |
4.3826155221594 |
L(r)(E,1)/r! |
Ω |
0.22078858692948 |
Real period |
R |
4.9624570515329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77550ce1 |
Quadratic twists by: 5 |