Atkin-Lehner |
3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
7623i |
Isogeny class |
Conductor |
7623 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7176903178883823 = 314 · 7 · 118 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4921214,-4200771594] |
[a1,a2,a3,a4,a6] |
Generators |
[1039846150:2707135443:405224] |
Generators of the group modulo torsion |
j |
10206027697760497/5557167 |
j-invariant |
L |
2.7504467999361 |
L(r)(E,1)/r! |
Ω |
0.10136348018003 |
Real period |
R |
13.567247272149 |
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 |
121968fv6 2541b5 53361bp6 693d5 |
Quadratic twists by: -4 -3 -7 -11 |