Atkin-Lehner |
5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
101675v |
Isogeny class |
Conductor |
101675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-295365875 = -1 · 53 · 73 · 832 |
Discriminant |
Eigenvalues |
0 1 5- 7- -3 3 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-23,-836] |
[a1,a2,a3,a4,a6] |
Generators |
[128:1452:1] |
Generators of the group modulo torsion |
j |
-32768/6889 |
j-invariant |
L |
5.6367731357939 |
L(r)(E,1)/r! |
Ω |
0.77119314149461 |
Real period |
R |
0.91364485475966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999946377 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101675bb1 101675ba1 |
Quadratic twists by: 5 -7 |