Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
74400cz |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
1900800 |
Modular degree for the optimal curve |
Δ |
8443818043200000000 = 212 · 311 · 58 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 3 -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4894333,4163645963] |
[a1,a2,a3,a4,a6] |
Generators |
[1217:3348:1] |
Generators of the group modulo torsion |
j |
8103718783966720/5277386277 |
j-invariant |
L |
7.7239948481612 |
L(r)(E,1)/r! |
Ω |
0.23011384031773 |
Real period |
R |
0.50857534166793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74400q1 74400g1 |
Quadratic twists by: -4 5 |