Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
38700f |
Isogeny class |
Conductor |
38700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-125388000000 = -1 · 28 · 36 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 3 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3000,-65500] |
[a1,a2,a3,a4,a6] |
Generators |
[220:3150:1] |
Generators of the group modulo torsion |
j |
-1024000/43 |
j-invariant |
L |
7.3225379186824 |
L(r)(E,1)/r! |
Ω |
0.32175329454825 |
Real period |
R |
1.8965197981276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4300b1 1548c1 |
Quadratic twists by: -3 5 |