Atkin-Lehner |
3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38115a |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-2201555064555 = -1 · 39 · 5 · 75 · 113 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7+ 11+ 2 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2673,-89026] |
[a1,a2,a3,a4,a6] |
Generators |
[66:148:1] |
Generators of the group modulo torsion |
j |
-80621568/84035 |
j-invariant |
L |
2.2395835387184 |
L(r)(E,1)/r! |
Ω |
0.31873899801822 |
Real period |
R |
1.7565967395303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38115e1 38115c1 |
Quadratic twists by: -3 -11 |