Atkin-Lehner |
2- 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
70080ch |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-322928640 = -1 · 215 · 33 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -4 0 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,-865] |
[a1,a2,a3,a4,a6] |
Generators |
[10:15:1] [11:24:1] |
Generators of the group modulo torsion |
j |
-8/9855 |
j-invariant |
L |
10.56412864949 |
L(r)(E,1)/r! |
Ω |
0.78567325777128 |
Real period |
R |
1.1204963964574 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70080bo1 35040n1 |
Quadratic twists by: -4 8 |