Atkin-Lehner |
2+ 3- 7+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
100674g |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8475027553798043364 = 22 · 314 · 74 · 174 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1134918,-443504160] |
[a1,a2,a3,a4,a6] |
Generators |
[-17853:121891:27] |
Generators of the group modulo torsion |
j |
221763389677666738273/11625552199997316 |
j-invariant |
L |
3.9517800938092 |
L(r)(E,1)/r! |
Ω |
0.14674799532713 |
Real period |
R |
6.7322556708603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972048 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33558bh2 |
Quadratic twists by: -3 |