Atkin-Lehner |
5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
101675bb |
Isogeny class |
Conductor |
101675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
-4615091796875 = -1 · 59 · 73 · 832 |
Discriminant |
Eigenvalues |
0 -1 5- 7- -3 -3 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-583,-103307] |
[a1,a2,a3,a4,a6] |
Generators |
[61:290:1] [986:10371:8] |
Generators of the group modulo torsion |
j |
-32768/6889 |
j-invariant |
L |
6.7118322524292 |
L(r)(E,1)/r! |
Ω |
0.34488805763271 |
Real period |
R |
2.4326125907197 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101675v1 101675u1 |
Quadratic twists by: 5 -7 |