Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200cx |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
83058400000000000 = 214 · 511 · 473 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 3 -7 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-707633,-228462863] |
[a1,a2,a3,a4,a6] |
Generators |
[-469:188:1] |
Generators of the group modulo torsion |
j |
153076524671824/324446875 |
j-invariant |
L |
4.2256838917435 |
L(r)(E,1)/r! |
Ω |
0.16462765338933 |
Real period |
R |
2.1390107740601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200b1 18800z1 15040be1 |
Quadratic twists by: -4 8 5 |