Atkin-Lehner |
5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45325q |
Isogeny class |
Conductor |
45325 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1738800 |
Modular degree for the optimal curve |
Δ |
7.6515435625861E+21 |
Discriminant |
Eigenvalues |
1 1 5- 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4983326,788227423] |
[a1,a2,a3,a4,a6] |
Generators |
[15985767674434:-1505102648064213:1719374392] |
Generators of the group modulo torsion |
j |
124034085385/69343957 |
j-invariant |
L |
7.2709248401263 |
L(r)(E,1)/r! |
Ω |
0.11398823176556 |
Real period |
R |
21.262209052949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45325i1 45325n1 |
Quadratic twists by: 5 -7 |