Atkin-Lehner |
2+ 3- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
47400n |
Isogeny class |
Conductor |
47400 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-16850700000000 = -1 · 28 · 33 · 58 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 0 -7 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23833,1421963] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:237:1] [83:-150:1] |
Generators of the group modulo torsion |
j |
-14971939840/168507 |
j-invariant |
L |
10.285836129452 |
L(r)(E,1)/r! |
Ω |
0.69687096320697 |
Real period |
R |
0.2050004128079 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94800k1 47400s1 |
Quadratic twists by: -4 5 |