Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
93100bu |
Isogeny class |
Conductor |
93100 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
7667185330000 = 24 · 54 · 79 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 1 3 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11433,447488] |
[a1,a2,a3,a4,a6] |
Generators |
[163:1715:1] |
Generators of the group modulo torsion |
j |
409600/19 |
j-invariant |
L |
8.7156967049712 |
L(r)(E,1)/r! |
Ω |
0.73271695564677 |
Real period |
R |
0.66083549572344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93100u1 93100bk1 |
Quadratic twists by: 5 -7 |