Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150x |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-8.1454062216375E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-203251,-435671602] |
[a1,a2,a3,a4,a6] |
Generators |
[967:16016:1] |
Generators of the group modulo torsion |
j |
-1263214441/110808000 |
j-invariant |
L |
5.202616660476 |
L(r)(E,1)/r! |
Ω |
0.085046487330995 |
Real period |
R |
2.5489082617152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999385 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830x1 2850r1 |
Quadratic twists by: 5 -19 |