Atkin-Lehner |
3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11385f |
Isogeny class |
Conductor |
11385 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
8299665 = 38 · 5 · 11 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2138,38576] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-5:1] |
Generators of the group modulo torsion |
j |
1481933914201/11385 |
j-invariant |
L |
1.8856458135787 |
L(r)(E,1)/r! |
Ω |
2.0879059303475 |
Real period |
R |
1.8062555272927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3795k1 56925k1 125235w1 |
Quadratic twists by: -3 5 -11 |