Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680ds |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7706893335092640000 = -1 · 28 · 310 · 54 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,492297,12817298] |
[a1,a2,a3,a4,a6] |
Generators |
[13627702:557291025:10648] |
Generators of the group modulo torsion |
j |
14647977776/8555625 |
j-invariant |
L |
6.1849029185921 |
L(r)(E,1)/r! |
Ω |
0.14167556215158 |
Real period |
R |
10.913849225229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30420i2 40560bt2 9360bu2 |
Quadratic twists by: -4 -3 13 |