Atkin-Lehner |
2- 5+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123760u |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
-185717350000 = -1 · 24 · 55 · 75 · 13 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 3 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1014,16939] |
[a1,a2,a3,a4,a6] |
Generators |
[467:10127:1] |
Generators of the group modulo torsion |
j |
7199282667776/11607334375 |
j-invariant |
L |
4.2647699139483 |
L(r)(E,1)/r! |
Ω |
0.68936555180176 |
Real period |
R |
6.1865143351036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000106923 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30940c1 |
Quadratic twists by: -4 |