Atkin-Lehner |
2+ 3- 5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78390m |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-9039631901040 = -1 · 24 · 310 · 5 · 134 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3060,-129920] |
[a1,a2,a3,a4,a6] |
Generators |
[334:1939:8] |
Generators of the group modulo torsion |
j |
4345908989759/12400043760 |
j-invariant |
L |
5.161645168688 |
L(r)(E,1)/r! |
Ω |
0.37522915072327 |
Real period |
R |
1.7194976583769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26130q1 |
Quadratic twists by: -3 |