Atkin-Lehner |
3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7245n |
Isogeny class |
Conductor |
7245 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5801921562479175 = 36 · 52 · 712 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49659,2183138] |
[a1,a2,a3,a4,a6] |
Generators |
[10286:358187:8] |
Generators of the group modulo torsion |
j |
18577831198352049/7958740140575 |
j-invariant |
L |
5.1566986599498 |
L(r)(E,1)/r! |
Ω |
0.38488427406564 |
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 |
115920fi3 805c3 36225bx3 50715p3 |
Quadratic twists by: -4 -3 5 -7 |