Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7623o |
Isogeny class |
Conductor |
7623 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1671339065933691 = 36 · 76 · 117 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11- -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-56106,4735957] |
[a1,a2,a3,a4,a6] |
j |
15124197817/1294139 |
j-invariant |
L |
2.7695213943807 |
L(r)(E,1)/r! |
Ω |
0.46158689906344 |
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 |
121968ed2 847c2 53361bk2 693a2 |
Quadratic twists by: -4 -3 -7 -11 |