Atkin-Lehner |
2- 3- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
124002q |
Isogeny class |
Conductor |
124002 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
23425920 |
Modular degree for the optimal curve |
Δ |
3.7678541254973E+24 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-57786224,140958244563] |
[a1,a2,a3,a4,a6] |
Generators |
[4325009:407837877:2197] |
Generators of the group modulo torsion |
j |
156590819/27648 |
j-invariant |
L |
15.458560978902 |
L(r)(E,1)/r! |
Ω |
0.074907803342278 |
Real period |
R |
10.318391589529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012266 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41334a1 124002e1 |
Quadratic twists by: -3 -83 |