Atkin-Lehner |
2+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
94400b |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-48332800000000 = -1 · 221 · 58 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 5 -7 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1300,334000] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:200:1] |
Generators of the group modulo torsion |
j |
59319/11800 |
j-invariant |
L |
4.790224183723 |
L(r)(E,1)/r! |
Ω |
0.49093659937232 |
Real period |
R |
2.4393293231813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400ck1 2950o1 18880a1 |
Quadratic twists by: -4 8 5 |