Atkin-Lehner |
2+ 3- 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
100650t |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
59719680 |
Modular degree for the optimal curve |
Δ |
-6.3552887703208E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-187626126,1565125315648] |
[a1,a2,a3,a4,a6] |
Generators |
[8607661569:-1355740313383:1601613] |
Generators of the group modulo torsion |
j |
-46750215544306707914819281/40673848130053079040000 |
j-invariant |
L |
6.8975824060511 |
L(r)(E,1)/r! |
Ω |
0.046916842800601 |
Real period |
R |
12.251432516112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20130o1 |
Quadratic twists by: 5 |