Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
127800s |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
314880 |
Modular degree for the optimal curve |
Δ |
24262031250000 = 24 · 37 · 510 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 1 -4 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18750,-959375] |
[a1,a2,a3,a4,a6] |
Generators |
[284:4077:1] |
Generators of the group modulo torsion |
j |
6400000/213 |
j-invariant |
L |
7.2739052161171 |
L(r)(E,1)/r! |
Ω |
0.40882301778304 |
Real period |
R |
4.4480770819167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004437 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42600ba1 127800bw1 |
Quadratic twists by: -3 5 |