Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800fm |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
262144 |
Modular degree for the optimal curve |
Δ |
-188116992000000 = -1 · 218 · 38 · 56 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14100,142000] |
[a1,a2,a3,a4,a6] |
Generators |
[1014:32512:1] |
Generators of the group modulo torsion |
j |
103823/63 |
j-invariant |
L |
6.8372408420658 |
L(r)(E,1)/r! |
Ω |
0.34889740335988 |
Real period |
R |
4.8991772228106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934358 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800me1 1575g1 33600dd1 4032h1 |
Quadratic twists by: -4 8 -3 5 |