Atkin-Lehner |
2- 3+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49818y |
Isogeny class |
Conductor |
49818 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
-12621092587632 = -1 · 24 · 36 · 196 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12823,-589795] |
[a1,a2,a3,a4,a6] |
Generators |
[15447397:4975578:117649] |
Generators of the group modulo torsion |
j |
-4956477625/268272 |
j-invariant |
L |
8.5926416034123 |
L(r)(E,1)/r! |
Ω |
0.22361841376733 |
Real period |
R |
9.6063663303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
138b1 |
Quadratic twists by: -19 |