Atkin-Lehner |
2+ 3- 5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78390l |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-46288511100000000 = -1 · 28 · 312 · 58 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,89055,-1608579] |
[a1,a2,a3,a4,a6] |
Generators |
[221067978:6698631011:2803221] |
Generators of the group modulo torsion |
j |
107144125520356079/63495900000000 |
j-invariant |
L |
4.6626027931473 |
L(r)(E,1)/r! |
Ω |
0.20994776834772 |
Real period |
R |
11.104197084987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969427 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26130bf1 |
Quadratic twists by: -3 |