Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200ek |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
123200 = 26 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- -3 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20,30] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:7:1] |
Generators of the group modulo torsion |
j |
552960/77 |
j-invariant |
L |
5.2492075107736 |
L(r)(E,1)/r! |
Ω |
3.1784307776249 |
Real period |
R |
1.6515091475585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012658 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200bj1 30800y1 123200hp1 |
Quadratic twists by: -4 8 5 |