Atkin-Lehner |
11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
7381c |
Isogeny class |
Conductor |
7381 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2380 |
Modular degree for the optimal curve |
Δ |
-108065221 = -1 · 116 · 61 |
Discriminant |
Eigenvalues |
1 -2 -3 -1 11- -1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-245,-1575] |
[a1,a2,a3,a4,a6] |
Generators |
[19:17:1] |
Generators of the group modulo torsion |
j |
-912673/61 |
j-invariant |
L |
2.0085304276401 |
L(r)(E,1)/r! |
Ω |
0.60133752921603 |
Real period |
R |
3.3401048995872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118096bi1 66429e1 61a1 |
Quadratic twists by: -4 -3 -11 |