Atkin-Lehner |
2+ 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
95424y |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-11707379712 = -1 · 212 · 34 · 7 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,567,567] |
[a1,a2,a3,a4,a6] |
Generators |
[3:48:1] |
Generators of the group modulo torsion |
j |
4913000000/2858247 |
j-invariant |
L |
8.495018285583 |
L(r)(E,1)/r! |
Ω |
0.76702787901732 |
Real period |
R |
1.3844050705103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000719 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95424e1 47712o1 |
Quadratic twists by: -4 8 |