Atkin-Lehner |
2+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800u |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110080 |
Modular degree for the optimal curve |
Δ |
1092781250000 = 24 · 59 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11583,-473338] |
[a1,a2,a3,a4,a6] |
Generators |
[29659622:929666250:29791] |
Generators of the group modulo torsion |
j |
5500147712/34969 |
j-invariant |
L |
9.2080704659184 |
L(r)(E,1)/r! |
Ω |
0.46037052159281 |
Real period |
R |
10.000716851455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999463 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37400u1 74800x1 |
Quadratic twists by: -4 5 |