Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6825a |
Isogeny class |
Conductor |
6825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-575859375 = -1 · 34 · 57 · 7 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,162,906] |
[a1,a2,a3,a4,a6] |
Generators |
[4:38:1] |
Generators of the group modulo torsion |
j |
30080231/36855 |
j-invariant |
L |
1.9562505385535 |
L(r)(E,1)/r! |
Ω |
1.0951551897751 |
Real period |
R |
1.7862770106173 |
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 |
109200fw1 20475r1 1365e1 47775cr1 |
Quadratic twists by: -4 -3 5 -7 |