Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
12600bw |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3025828748880000000 = -1 · 210 · 38 · 57 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,35925,-83650250] |
[a1,a2,a3,a4,a6] |
Generators |
[491:7236:1] |
Generators of the group modulo torsion |
j |
439608956/259416045 |
j-invariant |
L |
4.3164477541536 |
L(r)(E,1)/r! |
Ω |
0.11835943600822 |
Real period |
R |
4.5586223411179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25200bs3 100800ea3 4200k4 2520g4 |
Quadratic twists by: -4 8 -3 5 |