Atkin-Lehner |
2- 3- 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49266by |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
-1.5599022268717E+20 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -2 2 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17109383,27250435455] |
[a1,a2,a3,a4,a6] |
Generators |
[2747:29838:1] |
Generators of the group modulo torsion |
j |
-759799852292647673818921/213978357595570176 |
j-invariant |
L |
8.9933227040901 |
L(r)(E,1)/r! |
Ω |
0.17819217220707 |
Real period |
R |
0.15771811467477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16422f1 |
Quadratic twists by: -3 |