Atkin-Lehner |
2+ 7- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
100016g |
Isogeny class |
Conductor |
100016 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-36105776 = -1 · 24 · 7 · 193 · 47 |
Discriminant |
Eigenvalues |
2+ 3 -3 7- 4 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34,299] |
[a1,a2,a3,a4,a6] |
Generators |
[2655:10898:729] |
Generators of the group modulo torsion |
j |
-271669248/2256611 |
j-invariant |
L |
11.87453870839 |
L(r)(E,1)/r! |
Ω |
1.7639692140141 |
Real period |
R |
6.7317153764395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022607 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50008d1 |
Quadratic twists by: -4 |