Atkin-Lehner |
2- 3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
61050cn |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
3324172500000 = 25 · 33 · 57 · 113 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- 3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20438,1119492] |
[a1,a2,a3,a4,a6] |
Generators |
[22:814:1] |
Generators of the group modulo torsion |
j |
60425492474521/212747040 |
j-invariant |
L |
12.206091464216 |
L(r)(E,1)/r! |
Ω |
0.79797761128119 |
Real period |
R |
0.16995870131251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12210i1 |
Quadratic twists by: 5 |