Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5850cc |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-582924346875000 = -1 · 23 · 315 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2695,1159697] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:766:1] |
Generators of the group modulo torsion |
j |
7604375/2047032 |
j-invariant |
L |
5.3424455628282 |
L(r)(E,1)/r! |
Ω |
0.4000297807117 |
Real period |
R |
1.1129266328879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46800fn1 1950m1 5850k1 76050ct1 |
Quadratic twists by: -4 -3 5 13 |