Atkin-Lehner |
2+ 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42432a |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
2804585472 = 210 · 36 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 0 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12613,549445] |
[a1,a2,a3,a4,a6] |
Generators |
[49:216:1] |
Generators of the group modulo torsion |
j |
216727177216000/2738853 |
j-invariant |
L |
3.2576779493245 |
L(r)(E,1)/r! |
Ω |
1.3039594682627 |
Real period |
R |
1.2491484699543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432cd1 2652f1 127296n1 |
Quadratic twists by: -4 8 -3 |