Atkin-Lehner |
2- 61- |
Signs for the Atkin-Lehner involutions |
Class |
7442c |
Isogeny class |
Conductor |
7442 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161040 |
Modular degree for the optimal curve |
Δ |
-748425349941385024 = -1 · 26 · 619 |
Discriminant |
Eigenvalues |
2- 2 3 -3 -3 -5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-61474,-42059921] |
[a1,a2,a3,a4,a6] |
Generators |
[2369043:133414847:729] |
Generators of the group modulo torsion |
j |
-2197/64 |
j-invariant |
L |
8.6117546332944 |
L(r)(E,1)/r! |
Ω |
0.12360578374973 |
Real period |
R |
5.8059275033136 |
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 |
59536h1 66978i1 7442a1 |
Quadratic twists by: -4 -3 61 |