Atkin-Lehner |
2- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119600bz |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-192446655700000000 = -1 · 28 · 58 · 13 · 236 |
Discriminant |
Eigenvalues |
2- -2 5- 1 -1 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11708,21108088] |
[a1,a2,a3,a4,a6] |
Generators |
[9412:304175:64] |
Generators of the group modulo torsion |
j |
-1775043280/1924466557 |
j-invariant |
L |
3.1598496166928 |
L(r)(E,1)/r! |
Ω |
0.2570151832447 |
Real period |
R |
2.049068043982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000075521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29900k1 119600bs1 |
Quadratic twists by: -4 5 |