Atkin-Lehner |
2- 3- 7+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
100674bi |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1425782559094866 = 2 · 318 · 72 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-73544,7476873] |
[a1,a2,a3,a4,a6] |
Generators |
[-14124:237095:64] |
Generators of the group modulo torsion |
j |
60343762992513337/1955805979554 |
j-invariant |
L |
13.093089387623 |
L(r)(E,1)/r! |
Ω |
0.47676549281076 |
Real period |
R |
6.8655814814667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33558a2 |
Quadratic twists by: -3 |