Atkin-Lehner |
2- 3+ 5+ 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670be |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
261722544152400 = 24 · 39 · 52 · 294 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-105923,-13219469] |
[a1,a2,a3,a4,a6] |
Generators |
[521:8272:1] |
Generators of the group modulo torsion |
j |
6677277009370443/13296882800 |
j-invariant |
L |
12.796059913036 |
L(r)(E,1)/r! |
Ω |
0.26466972289168 |
Real period |
R |
6.0434093829473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122670g2 |
Quadratic twists by: -3 |