Atkin-Lehner |
2- 3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
78078cm |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
744793738070382 = 2 · 35 · 78 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-26543,1011863] |
[a1,a2,a3,a4,a6] |
j |
941336067350125/339004887606 |
j-invariant |
L |
3.7093693067931 |
L(r)(E,1)/r! |
Ω |
0.46367116037969 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78078l2 |
Quadratic twists by: 13 |