Atkin-Lehner |
2+ 3- 7+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
100674m |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
394380629622 = 2 · 37 · 74 · 17 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4464,111874] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:248:1] [21:154:1] |
Generators of the group modulo torsion |
j |
13496571664129/540988518 |
j-invariant |
L |
5.8611396846028 |
L(r)(E,1)/r! |
Ω |
0.9406251993993 |
Real period |
R |
3.1155553178524 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000706 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33558s2 |
Quadratic twists by: -3 |