Atkin-Lehner |
2+ 3+ 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600l |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-3376345056300000000 = -1 · 28 · 310 · 58 · 833 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -5 6 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7708,88408912] |
[a1,a2,a3,a4,a6] |
j |
-506530000/33763450563 |
j-invariant |
L |
3.2015310770405 |
L(r)(E,1)/r! |
Ω |
0.20009569443722 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49800bj1 99600bc1 |
Quadratic twists by: -4 5 |