Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
103200ca |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
29025000000 = 26 · 33 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -6 2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38658,-2912688] |
[a1,a2,a3,a4,a6] |
Generators |
[416:7268:1] |
Generators of the group modulo torsion |
j |
6389297223616/29025 |
j-invariant |
L |
4.0345005940565 |
L(r)(E,1)/r! |
Ω |
0.34047787161144 |
Real period |
R |
5.9247618220257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010213 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103200w1 20640g1 |
Quadratic twists by: -4 5 |