Atkin-Lehner |
2+ 3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62016b |
Isogeny class |
Conductor |
62016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
858260892636864 = 26 · 34 · 176 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 2 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23884,186334] |
[a1,a2,a3,a4,a6] |
Generators |
[12186565:228248838:29791] |
Generators of the group modulo torsion |
j |
23544155043972928/13410326447451 |
j-invariant |
L |
5.1208685777312 |
L(r)(E,1)/r! |
Ω |
0.42932743637138 |
Real period |
R |
11.927652751426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62016bf1 31008f2 |
Quadratic twists by: -4 8 |