Atkin-Lehner |
2- 3- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194bz |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-89138964767440896 = -1 · 218 · 37 · 75 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,59449,13221951] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:3534:1] |
Generators of the group modulo torsion |
j |
31874009195769047/122275671834624 |
j-invariant |
L |
7.5616857037759 |
L(r)(E,1)/r! |
Ω |
0.24184139134699 |
Real period |
R |
0.3474125317176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398d1 |
Quadratic twists by: -3 |