Atkin-Lehner |
2- 5- 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
104650bf |
Isogeny class |
Conductor |
104650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
88064 |
Modular degree for the optimal curve |
Δ |
10783136000 = 28 · 53 · 72 · 13 · 232 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 2 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-903,9097] |
[a1,a2,a3,a4,a6] |
Generators |
[174:1523:27] [-18:149:1] |
Generators of the group modulo torsion |
j |
651488882309/86265088 |
j-invariant |
L |
12.134287485464 |
L(r)(E,1)/r! |
Ω |
1.2334509888317 |
Real period |
R |
0.61485456230924 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996502 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104650u1 |
Quadratic twists by: 5 |