Atkin-Lehner |
3- 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
10605j |
Isogeny class |
Conductor |
10605 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1664 |
Modular degree for the optimal curve |
Δ |
1325625 = 3 · 54 · 7 · 101 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-53,131] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:141:8] |
Generators of the group modulo torsion |
j |
16022066761/1325625 |
j-invariant |
L |
6.8666513228821 |
L(r)(E,1)/r! |
Ω |
2.6486126917626 |
Real period |
R |
2.592546409008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31815h1 53025c1 74235b1 |
Quadratic twists by: -3 5 -7 |