Atkin-Lehner |
2- 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
50470p |
Isogeny class |
Conductor |
50470 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1187549006000 = -1 · 24 · 53 · 78 · 103 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -2 -4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-50275,-4343375] |
[a1,a2,a3,a4,a6] |
Generators |
[480:8825:1] |
Generators of the group modulo torsion |
j |
-119451676585249/10094000 |
j-invariant |
L |
10.995713099893 |
L(r)(E,1)/r! |
Ω |
0.15941503996481 |
Real period |
R |
2.8739742034123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7210f1 |
Quadratic twists by: -7 |