Atkin-Lehner |
2- 3+ 5- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122670bi |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1302528 |
Modular degree for the optimal curve |
Δ |
-6963390181417500 = -1 · 22 · 39 · 54 · 29 · 474 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29567,-4458941] |
[a1,a2,a3,a4,a6] |
Generators |
[406024:10900517:512] |
Generators of the group modulo torsion |
j |
-145224681617547/353776872500 |
j-invariant |
L |
13.263207897869 |
L(r)(E,1)/r! |
Ω |
0.16973992394121 |
Real period |
R |
9.7673013236755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020761 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122670d1 |
Quadratic twists by: -3 |