Atkin-Lehner |
2+ 5+ 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
60040a |
Isogeny class |
Conductor |
60040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15616 |
Modular degree for the optimal curve |
Δ |
-36504320 = -1 · 28 · 5 · 192 · 79 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 3 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,79,85] |
[a1,a2,a3,a4,a6] |
Generators |
[9:38:1] |
Generators of the group modulo torsion |
j |
210308096/142595 |
j-invariant |
L |
3.9550184545773 |
L(r)(E,1)/r! |
Ω |
1.2957113741474 |
Real period |
R |
0.38154894421547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120080a1 |
Quadratic twists by: -4 |