Atkin-Lehner |
2+ 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
70070s |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11335039966250 = 2 · 54 · 78 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40285604,98427708910] |
[a1,a2,a3,a4,a6] |
j |
61458947171027474307849/96346250 |
j-invariant |
L |
1.3004958845113 |
L(r)(E,1)/r! |
Ω |
0.32512397166215 |
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 |
10010a3 |
Quadratic twists by: -7 |