Atkin-Lehner |
2+ 3- 7+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
100674m |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-17467140348 = -1 · 22 · 38 · 72 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,126,6304] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-100:1] [-10:68:1] |
Generators of the group modulo torsion |
j |
302111711/23960412 |
j-invariant |
L |
5.8611396846028 |
L(r)(E,1)/r! |
Ω |
0.9406251993993 |
Real period |
R |
0.7788888294631 |
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 |
33558s1 |
Quadratic twists by: -3 |