Atkin-Lehner |
2- 3- 7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
100674br |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-4069069862731776 = -1 · 218 · 310 · 7 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,35464,-1685509] |
[a1,a2,a3,a4,a6] |
Generators |
[207:-3911:1] |
Generators of the group modulo torsion |
j |
6766604906507207/5581714489344 |
j-invariant |
L |
8.9660386231561 |
L(r)(E,1)/r! |
Ω |
0.24316852263175 |
Real period |
R |
1.0242140937634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015335 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33558j1 |
Quadratic twists by: -3 |