Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7650by |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
12393000000 = 26 · 36 · 56 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -6 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-680,-4053] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:35:1] |
Generators of the group modulo torsion |
j |
3048625/1088 |
j-invariant |
L |
6.5716646285977 |
L(r)(E,1)/r! |
Ω |
0.96265586026747 |
Real period |
R |
1.1377663434109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61200fd1 850b1 306b1 |
Quadratic twists by: -4 -3 5 |