Atkin-Lehner |
2- 3- 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050cg |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
370 |
Product of Tamagawa factors cp |
deg |
346106880 |
Modular degree for the optimal curve |
Δ |
-1.7403314857574E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -5 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-274020353813,55210562018539617] |
[a1,a2,a3,a4,a6] |
Generators |
[302226:-151881:1] |
Generators of the group modulo torsion |
j |
-145630437548197559578324883173793161/111381215088476160 |
j-invariant |
L |
11.178418825601 |
L(r)(E,1)/r! |
Ω |
0.043808918722055 |
Real period |
R |
0.68962995700772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20010f1 |
Quadratic twists by: 5 |