Atkin-Lehner |
2- 3+ 5+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
100050bv |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
Δ |
-67745856000000000 = -1 · 215 · 3 · 59 · 233 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,100037,2958281] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:198:1] [115:-4058:1] |
Generators of the group modulo torsion |
j |
7085742935973911/4335734784000 |
j-invariant |
L |
13.31723700225 |
L(r)(E,1)/r! |
Ω |
0.21415498090515 |
Real period |
R |
0.34547246905915 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20010h2 |
Quadratic twists by: 5 |