Atkin-Lehner |
2- 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
74340l |
Isogeny class |
Conductor |
74340 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-9294246990000 = -1 · 24 · 38 · 54 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10848,458953] |
[a1,a2,a3,a4,a6] |
Generators |
[54:-175:1] [-58:945:1] |
Generators of the group modulo torsion |
j |
-12103897317376/796831875 |
j-invariant |
L |
10.462243305931 |
L(r)(E,1)/r! |
Ω |
0.71763714553691 |
Real period |
R |
0.60744738078883 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24780p1 |
Quadratic twists by: -3 |