Atkin-Lehner |
3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
34485f |
Isogeny class |
Conductor |
34485 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-426751875 = -1 · 33 · 54 · 113 · 19 |
Discriminant |
Eigenvalues |
0 3+ 5- -4 11+ 7 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-95,1088] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-28:1] |
Generators of the group modulo torsion |
j |
-71991296/320625 |
j-invariant |
L |
3.7582030606111 |
L(r)(E,1)/r! |
Ω |
1.4584147120874 |
Real period |
R |
0.32211371613491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103455k1 34485e1 |
Quadratic twists by: -3 -11 |