Atkin-Lehner |
2+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
126400p |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
12482000000000 = 210 · 59 · 792 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6800,133000] |
[a1,a2,a3,a4,a6] |
Generators |
[6:304:1] [90:500:1] |
Generators of the group modulo torsion |
j |
2173353984/780125 |
j-invariant |
L |
11.341717149238 |
L(r)(E,1)/r! |
Ω |
0.6520764617512 |
Real period |
R |
4.3483079876499 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000417 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126400bh1 7900b1 25280k1 |
Quadratic twists by: -4 8 5 |