Atkin-Lehner |
3+ 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
127743h |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
51497929791 = 37 · 73 · 11 · 792 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 11+ 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-898139,327240810] |
[a1,a2,a3,a4,a6] |
Generators |
[2244190:96962333:1000] |
Generators of the group modulo torsion |
j |
233593639530586345711/150139737 |
j-invariant |
L |
8.4186414181189 |
L(r)(E,1)/r! |
Ω |
0.69290411963795 |
Real period |
R |
12.149792726335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999825319 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127743bc2 |
Quadratic twists by: -7 |