Atkin-Lehner |
3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025x |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
1782421875 = 33 · 58 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 -1 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-305,-178] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:-35:1] [-2:21:1] |
Generators of the group modulo torsion |
j |
1755 |
j-invariant |
L |
5.6869052060999 |
L(r)(E,1)/r! |
Ω |
1.2358888302851 |
Real period |
R |
0.76691164376912 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38025v1 38025h1 38025u1 |
Quadratic twists by: -3 5 13 |