Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850cr |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
378 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-29575959235200 = -1 · 27 · 39 · 52 · 73 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -3 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-37188,2769552] |
[a1,a2,a3,a4,a6] |
Generators |
[66:744:1] |
Generators of the group modulo torsion |
j |
-227506023808875625/1183038369408 |
j-invariant |
L |
11.140540491017 |
L(r)(E,1)/r! |
Ω |
0.66573209353851 |
Real period |
R |
0.044270555118745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550by1 38850r1 |
Quadratic twists by: -3 5 |