Atkin-Lehner |
2- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
113680bw |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-1591520000 = -1 · 28 · 54 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 0 -6 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-205,-2297] |
[a1,a2,a3,a4,a6] |
Generators |
[51:350:1] |
Generators of the group modulo torsion |
j |
-10903552/18125 |
j-invariant |
L |
7.9622521267524 |
L(r)(E,1)/r! |
Ω |
0.5965238195926 |
Real period |
R |
0.83423450755423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28420k1 113680be1 |
Quadratic twists by: -4 -7 |