Atkin-Lehner |
2+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
85696ba |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
85696 = 26 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ -1 3 4 -4 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44,-98] |
[a1,a2,a3,a4,a6] |
Generators |
[-405:28:125] |
Generators of the group modulo torsion |
j |
150568768/1339 |
j-invariant |
L |
7.6486336865963 |
L(r)(E,1)/r! |
Ω |
1.8511857698636 |
Real period |
R |
4.1317483193684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999101 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85696u1 42848c1 |
Quadratic twists by: -4 8 |