Atkin-Lehner |
2+ 3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150be |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3993600 |
Modular degree for the optimal curve |
Δ |
-3.0916943003426E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 5 13+ -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-916992,-910761084] |
[a1,a2,a3,a4,a6] |
Generators |
[361866:41595716:27] |
Generators of the group modulo torsion |
j |
-11978241015625/43427914452 |
j-invariant |
L |
5.6179707874735 |
L(r)(E,1)/r! |
Ω |
0.070710375453914 |
Real period |
R |
9.9313055734989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036804 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37050ca1 111150fk1 |
Quadratic twists by: -3 5 |