Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107100f |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
248866931250000 = 24 · 39 · 58 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43200,3371625] |
[a1,a2,a3,a4,a6] |
Generators |
[220:-2125:1] |
Generators of the group modulo torsion |
j |
1811939328/50575 |
j-invariant |
L |
7.0031231435927 |
L(r)(E,1)/r! |
Ω |
0.55251131008531 |
Real period |
R |
1.0562563770478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107100k1 21420a1 |
Quadratic twists by: -3 5 |