Atkin-Lehner |
2- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200bk |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-33075200 = -1 · 212 · 52 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 6 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1368,19028] |
[a1,a2,a3,a4,a6] |
Generators |
[22:8:1] [52:302:1] |
Generators of the group modulo torsion |
j |
-2766938305/323 |
j-invariant |
L |
13.177029599825 |
L(r)(E,1)/r! |
Ω |
1.9943216330468 |
Real period |
R |
1.6518185161743 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999978221 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8075b1 129200dd1 |
Quadratic twists by: -4 5 |