Atkin-Lehner |
2- 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78498cf |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-5089746538491048 = -1 · 23 · 311 · 79 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 0 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40361,-4629103] |
[a1,a2,a3,a4,a6] |
Generators |
[1185:39538:1] |
Generators of the group modulo torsion |
j |
-84778086457/59344488 |
j-invariant |
L |
8.672202330923 |
L(r)(E,1)/r! |
Ω |
0.16336135371215 |
Real period |
R |
2.2119170506242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26166m1 11214l1 |
Quadratic twists by: -3 -7 |