Atkin-Lehner |
3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
3525f |
Isogeny class |
Conductor |
3525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-2676796875 = -1 · 36 · 57 · 47 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 -6 -5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,217,2093] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:13:1] [-3:37:1] |
Generators of the group modulo torsion |
j |
71991296/171315 |
j-invariant |
L |
3.1349458201092 |
L(r)(E,1)/r! |
Ω |
1.0027588239058 |
Real period |
R |
0.39079010642608 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56400cq1 10575f1 705c1 |
Quadratic twists by: -4 -3 5 |