Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37926j |
Isogeny class |
Conductor |
37926 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-647661833538048 = -1 · 29 · 36 · 79 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 1 2 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18972,1589328] |
[a1,a2,a3,a4,a6] |
Generators |
[-2823:43429:27] |
Generators of the group modulo torsion |
j |
-25672375/22016 |
j-invariant |
L |
4.410398613194 |
L(r)(E,1)/r! |
Ω |
0.46865460346759 |
Real period |
R |
4.7053827921056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4214d1 37926k1 |
Quadratic twists by: -3 -7 |