Atkin-Lehner |
3- 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
74235l |
Isogeny class |
Conductor |
74235 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
26201020545 = 32 · 5 · 78 · 101 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 2 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-859,5681] |
[a1,a2,a3,a4,a6] |
j |
594823321/222705 |
j-invariant |
L |
2.172980662857 |
L(r)(E,1)/r! |
Ω |
1.0864903412103 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10605b1 |
Quadratic twists by: -7 |