Atkin-Lehner |
2- 5+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
100700g |
Isogeny class |
Conductor |
100700 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12713472 |
Modular degree for the optimal curve |
Δ |
1285369218001250000 = 24 · 57 · 194 · 534 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-328767033,2294350499188] |
[a1,a2,a3,a4,a6] |
Generators |
[57968:13342750:1] |
Generators of the group modulo torsion |
j |
15719853405797699917103104/5141476872005 |
j-invariant |
L |
1.9838076034747 |
L(r)(E,1)/r! |
Ω |
0.16222373624348 |
Real period |
R |
3.0572092202961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999732675 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20140c1 |
Quadratic twists by: 5 |