Atkin-Lehner |
2+ 3+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38478b |
Isogeny class |
Conductor |
38478 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
104720 |
Modular degree for the optimal curve |
Δ |
-1730630854656 = -1 · 211 · 32 · 116 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -3 4 11- 2 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1454,-67404] |
[a1,a2,a3,a4,a6] |
Generators |
[65:311:1] |
Generators of the group modulo torsion |
j |
-192100033/976896 |
j-invariant |
L |
2.7925626364966 |
L(r)(E,1)/r! |
Ω |
0.34867090158362 |
Real period |
R |
4.0045822920907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115434bp1 318d1 |
Quadratic twists by: -3 -11 |