Atkin-Lehner |
2- 3+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
63654g |
Isogeny class |
Conductor |
63654 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2376192 |
Modular degree for the optimal curve |
Δ |
-94454312864630016 = -1 · 28 · 3 · 1037 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 2 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15743977,24038167895] |
[a1,a2,a3,a4,a6] |
Generators |
[4111:167688:1] |
Generators of the group modulo torsion |
j |
-361446235206337/79104 |
j-invariant |
L |
5.913001455894 |
L(r)(E,1)/r! |
Ω |
0.26830386587805 |
Real period |
R |
0.68870157677401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
618g1 |
Quadratic twists by: -103 |