Atkin-Lehner |
7- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6307g |
Isogeny class |
Conductor |
6307 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
528 |
Modular degree for the optimal curve |
Δ |
309043 = 73 · 17 · 53 |
Discriminant |
Eigenvalues |
-1 -1 0 7- -3 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18,-20] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:4:1] [10:25:1] |
Generators of the group modulo torsion |
j |
647214625/309043 |
j-invariant |
L |
3.0310975624913 |
L(r)(E,1)/r! |
Ω |
2.4290682761495 |
Real period |
R |
0.41594790236414 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100912i1 56763s1 44149i1 107219b1 |
Quadratic twists by: -4 -3 -7 17 |