Atkin-Lehner |
3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7245s |
Isogeny class |
Conductor |
7245 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
535510733625 = 37 · 53 · 7 · 234 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2079,-9072] |
[a1,a2,a3,a4,a6] |
j |
1363569097969/734582625 |
j-invariant |
L |
2.258542701605 |
L(r)(E,1)/r! |
Ω |
0.75284756720165 |
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 |
115920en1 2415f1 36225bk1 50715q1 |
Quadratic twists by: -4 -3 5 -7 |