Atkin-Lehner |
5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
5635k |
Isogeny class |
Conductor |
5635 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-282314843412175 = -1 · 52 · 79 · 234 |
Discriminant |
Eigenvalues |
-1 0 5- 7- -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,113,-808426] |
[a1,a2,a3,a4,a6] |
j |
1367631/2399636575 |
j-invariant |
L |
0.50393180562969 |
L(r)(E,1)/r! |
Ω |
0.25196590281484 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90160cp1 50715p1 28175d1 805c1 |
Quadratic twists by: -4 -3 5 -7 |