Atkin-Lehner |
2+ 3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38850t |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-8260481250000 = -1 · 24 · 36 · 58 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -6 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2075,142125] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-355:1] [-46:401:1] |
Generators of the group modulo torsion |
j |
-2531307865/21146832 |
j-invariant |
L |
5.440112283826 |
L(r)(E,1)/r! |
Ω |
0.63068787553376 |
Real period |
R |
0.35940336567841 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550fk1 38850cy1 |
Quadratic twists by: -3 5 |