Atkin-Lehner |
2- 3+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
78078cc |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5426264844 = 22 · 36 · 7 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1415229,-648609369] |
[a1,a2,a3,a4,a6] |
Generators |
[175155:1293414:125] |
Generators of the group modulo torsion |
j |
142683525720739647181/2469852 |
j-invariant |
L |
5.8226955861038 |
L(r)(E,1)/r! |
Ω |
0.13841809670712 |
Real period |
R |
10.516499868824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004552 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78078w2 |
Quadratic twists by: 13 |