Atkin-Lehner |
2- 3- 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494cb |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6258174785318786022 = 2 · 318 · 76 · 11 · 792 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 11- -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-561206777,-5117060665965] |
[a1,a2,a3,a4,a6] |
Generators |
[-27943118160187857701621670417367580:13894026760780208672318287117921875:2043066702332220889904961752384] |
Generators of the group modulo torsion |
j |
26814203656085260488207661129/8584601900300118 |
j-invariant |
L |
6.234106612448 |
L(r)(E,1)/r! |
Ω |
0.031018359709721 |
Real period |
R |
50.245295477703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027355 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36498g2 |
Quadratic twists by: -3 |