Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992gr |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-69979521024 = -1 · 214 · 39 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 -1 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-768,-15136] |
[a1,a2,a3,a4,a6] |
Generators |
[722:6453:8] |
Generators of the group modulo torsion |
j |
-4194304/5859 |
j-invariant |
L |
7.1642210910371 |
L(r)(E,1)/r! |
Ω |
0.43147833518026 |
Real period |
R |
4.1509738581049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999905572 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992bh1 31248ci1 41664cz1 |
Quadratic twists by: -4 8 -3 |