Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
70720ba |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-564601960000 = -1 · 26 · 54 · 132 · 174 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2183,-53368] |
[a1,a2,a3,a4,a6] |
Generators |
[124:1258:1] |
Generators of the group modulo torsion |
j |
-17976491977536/8821905625 |
j-invariant |
L |
3.9641308720713 |
L(r)(E,1)/r! |
Ω |
0.34125633937964 |
Real period |
R |
2.9040712316893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720z1 35360k2 |
Quadratic twists by: -4 8 |