Atkin-Lehner |
3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
3525k |
Isogeny class |
Conductor |
3525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-12094365603515625 = -1 · 33 · 59 · 475 |
Discriminant |
Eigenvalues |
1 3- 5+ 5 6 -3 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3001,5291273] |
[a1,a2,a3,a4,a6] |
j |
-191202526081/774039398625 |
j-invariant |
L |
3.8627041171815 |
L(r)(E,1)/r! |
Ω |
0.32189200976512 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56400bx1 10575p1 705b1 |
Quadratic twists by: -4 -3 5 |