Atkin-Lehner |
3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
49419i |
Isogeny class |
Conductor |
49419 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
678912 |
Modular degree for the optimal curve |
Δ |
31208652869838993 = 36 · 179 · 192 |
Discriminant |
Eigenvalues |
-1 3- 4 -2 6 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-347288,-78227166] |
[a1,a2,a3,a4,a6] |
Generators |
[-1073367720:-1159038903:3048625] |
Generators of the group modulo torsion |
j |
53582633/361 |
j-invariant |
L |
5.4401394390345 |
L(r)(E,1)/r! |
Ω |
0.19674491603448 |
Real period |
R |
13.82536217134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998921 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5491c1 49419j1 |
Quadratic twists by: -3 17 |