Atkin-Lehner |
3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13545h |
Isogeny class |
Conductor |
13545 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9360 |
Modular degree for the optimal curve |
Δ |
-2311684515 = -1 · 36 · 5 · 73 · 432 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 3 -1 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3,2313] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:297:8] |
Generators of the group modulo torsion |
j |
-4096/3171035 |
j-invariant |
L |
9.1011781944751 |
L(r)(E,1)/r! |
Ω |
1.1587368023481 |
Real period |
R |
1.3090660703438 |
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 |
1505b1 67725s1 94815bj1 |
Quadratic twists by: -3 5 -7 |