Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930d |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-706038067350 = -1 · 2 · 39 · 52 · 72 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2094,55250] |
[a1,a2,a3,a4,a6] |
Generators |
[19:139:1] |
Generators of the group modulo torsion |
j |
-51603494067/35870450 |
j-invariant |
L |
3.082235032794 |
L(r)(E,1)/r! |
Ω |
0.83323885769366 |
Real period |
R |
0.46238767616488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440cn2 6930r2 34650cq2 48510f2 |
Quadratic twists by: -4 -3 5 -7 |