Atkin-Lehner |
2- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
46060d |
Isogeny class |
Conductor |
46060 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
408240 |
Modular degree for the optimal curve |
Δ |
9771737701600000 = 28 · 55 · 76 · 473 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 3 7 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-346740,-78328088] |
[a1,a2,a3,a4,a6] |
j |
153076524671824/324446875 |
j-invariant |
L |
2.951515218025 |
L(r)(E,1)/r! |
Ω |
0.19676768121851 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
940c1 |
Quadratic twists by: -7 |