Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40362p |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
312480 |
Modular degree for the optimal curve |
Δ |
-2579142497221584 = -1 · 24 · 33 · 7 · 318 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 3 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-63927,6678442] |
[a1,a2,a3,a4,a6] |
Generators |
[24455:149224:125] |
Generators of the group modulo torsion |
j |
-33874537/3024 |
j-invariant |
L |
7.0028289154394 |
L(r)(E,1)/r! |
Ω |
0.44628353053051 |
Real period |
R |
7.8457173930611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
121086bb1 40362k1 |
Quadratic twists by: -3 -31 |