Atkin-Lehner |
2- 3+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
70080bp |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
197120 |
Modular degree for the optimal curve |
Δ |
-16348262400000 = -1 · 215 · 37 · 55 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 6 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26945,-1704543] |
[a1,a2,a3,a4,a6] |
Generators |
[199:880:1] |
Generators of the group modulo torsion |
j |
-66027439914632/498909375 |
j-invariant |
L |
6.8932306216617 |
L(r)(E,1)/r! |
Ω |
0.18623131496192 |
Real period |
R |
3.7014347576239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70080cj1 35040o1 |
Quadratic twists by: -4 8 |