Atkin-Lehner |
2+ 3+ 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
100050i |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4258159824654375000 = -1 · 23 · 3 · 57 · 238 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,318250,-71152500] |
[a1,a2,a3,a4,a6] |
Generators |
[355:9135:1] [471:13311:1] |
Generators of the group modulo torsion |
j |
228142812345052319/272522228777880 |
j-invariant |
L |
6.1392076900065 |
L(r)(E,1)/r! |
Ω |
0.13214545558261 |
Real period |
R |
23.228977731227 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010bc4 |
Quadratic twists by: 5 |