Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
38700d |
Isogeny class |
Conductor |
38700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-514169167500000000 = -1 · 28 · 314 · 510 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -1 5 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1045200,-412733500] |
[a1,a2,a3,a4,a6] |
Generators |
[18565:2525625:1] |
Generators of the group modulo torsion |
j |
-43304636317696/176326875 |
j-invariant |
L |
6.406058369773 |
L(r)(E,1)/r! |
Ω |
0.074638667951463 |
Real period |
R |
7.1523007059558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12900c1 7740b1 |
Quadratic twists by: -3 5 |