Atkin-Lehner |
2- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
2914f |
Isogeny class |
Conductor |
2914 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
2352 |
Modular degree for the optimal curve |
Δ |
3055550464 = 221 · 31 · 47 |
Discriminant |
Eigenvalues |
2- 1 -3 -1 6 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-652,5776] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:100:1] |
Generators of the group modulo torsion |
j |
30655480635073/3055550464 |
j-invariant |
L |
4.7086903291732 |
L(r)(E,1)/r! |
Ω |
1.3823097465101 |
Real period |
R |
1.4598827405863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
23312k1 93248l1 26226m1 72850k1 |
Quadratic twists by: -4 8 -3 5 |