Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40362m |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
7979400 |
Modular degree for the optimal curve |
Δ |
-2.0802115160153E+25 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,13073904,218683462366] |
[a1,a2,a3,a4,a6] |
j |
289765104938375/24390120480768 |
j-invariant |
L |
1.7216260102706 |
L(r)(E,1)/r! |
Ω |
0.052170485160783 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121086u1 40362a1 |
Quadratic twists by: -3 -31 |