Atkin-Lehner |
3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
81585bd |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-693186544575 = -1 · 310 · 52 · 73 · 372 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1881,24408] |
[a1,a2,a3,a4,a6] |
Generators |
[24:276:1] |
Generators of the group modulo torsion |
j |
2942649737/2772225 |
j-invariant |
L |
7.2442982663124 |
L(r)(E,1)/r! |
Ω |
0.59331567073666 |
Real period |
R |
3.0524637317036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001121 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27195p1 81585r1 |
Quadratic twists by: -3 -7 |