Atkin-Lehner |
2- 3- 5- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
78210bo |
Isogeny class |
Conductor |
78210 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-388662533259264000 = -1 · 218 · 37 · 53 · 11 · 793 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-93857,-31947919] |
[a1,a2,a3,a4,a6] |
Generators |
[1431:51844:1] |
Generators of the group modulo torsion |
j |
-125427235825720009/533144764416000 |
j-invariant |
L |
12.23088328352 |
L(r)(E,1)/r! |
Ω |
0.12409418681513 |
Real period |
R |
2.7378136444144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000605 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
26070n2 |
Quadratic twists by: -3 |