Atkin-Lehner |
3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6417h |
Isogeny class |
Conductor |
6417 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8880563319384186387 = -1 · 39 · 232 · 318 |
Discriminant |
Eigenvalues |
1 3- 2 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,512424,-25094745] |
[a1,a2,a3,a4,a6] |
Generators |
[326550346514136030:-26062569974914968435:52591067510696] |
Generators of the group modulo torsion |
j |
20411931106401081983/12181842687769803 |
j-invariant |
L |
5.4894797361681 |
L(r)(E,1)/r! |
Ω |
0.13510195527837 |
Real period |
R |
20.31606324593 |
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 |
102672bq5 2139c6 |
Quadratic twists by: -4 -3 |