Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
7308c |
Isogeny class |
Conductor |
7308 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
353205654181632 = 28 · 314 · 73 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 2 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23511,1052494] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:1458:1] |
Generators of the group modulo torsion |
j |
7701397204048/1892605743 |
j-invariant |
L |
3.6815324741168 |
L(r)(E,1)/r! |
Ω |
0.50535404192843 |
Real period |
R |
1.214175993022 |
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 |
29232bn2 116928bj2 2436c2 51156n2 |
Quadratic twists by: -4 8 -3 -7 |