Atkin-Lehner |
5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
9065c |
Isogeny class |
Conductor |
9065 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-3523219896875 = -1 · 55 · 77 · 372 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7- 1 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3446,-118098] |
[a1,a2,a3,a4,a6] |
Generators |
[110:906:1] |
Generators of the group modulo torsion |
j |
-38477541376/29946875 |
j-invariant |
L |
1.4939212727098 |
L(r)(E,1)/r! |
Ω |
0.30144290065897 |
Real period |
R |
1.2389753328441 |
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 |
81585bh1 45325g1 1295b1 |
Quadratic twists by: -3 5 -7 |