Atkin-Lehner |
3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
74025v |
Isogeny class |
Conductor |
74025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
33727640625 = 38 · 56 · 7 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13955,637922] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:955:1] [24:550:1] |
Generators of the group modulo torsion |
j |
26383748833/2961 |
j-invariant |
L |
7.2786027413004 |
L(r)(E,1)/r! |
Ω |
1.1187535884652 |
Real period |
R |
3.2529963775843 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24675p1 2961d1 |
Quadratic twists by: -3 5 |