Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
966g |
Isogeny class |
Conductor |
966 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
637608031452 = 22 · 316 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-79134,-8601153] |
[a1,a2,a3,a4,a6] |
Generators |
[-4389:2371:27] |
Generators of the group modulo torsion |
j |
54804145548726848737/637608031452 |
j-invariant |
L |
2.7656988558768 |
L(r)(E,1)/r! |
Ω |
0.28464859833293 |
Real period |
R |
4.8580932280614 |
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 |
7728r5 30912y6 2898i5 24150bc6 |
Quadratic twists by: -4 8 -3 5 |