Atkin-Lehner |
2+ 3+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
6954d |
Isogeny class |
Conductor |
6954 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
20805088464 = 24 · 310 · 192 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 2 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5301,146205] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:495:1] |
Generators of the group modulo torsion |
j |
16478782791321817/20805088464 |
j-invariant |
L |
2.171401790637 |
L(r)(E,1)/r! |
Ω |
1.2094795282702 |
Real period |
R |
0.89765958822907 |
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 |
55632v2 20862y2 |
Quadratic twists by: -4 -3 |