Atkin-Lehner |
3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7245n |
Isogeny class |
Conductor |
7245 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2246516015625 = 36 · 58 · 73 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-378789,-89636680] |
[a1,a2,a3,a4,a6] |
Generators |
[86164:2701693:64] |
Generators of the group modulo torsion |
j |
8244966675515989329/3081640625 |
j-invariant |
L |
5.1566986599498 |
L(r)(E,1)/r! |
Ω |
0.19244213703282 |
Real period |
R |
6.6990248854263 |
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 |
115920fi4 805c4 36225bx4 50715p4 |
Quadratic twists by: -4 -3 5 -7 |