Atkin-Lehner |
2+ 3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37050bf |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
35904 |
Modular degree for the optimal curve |
Δ |
-43755309000 = -1 · 23 · 311 · 53 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 3 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-991,15578] |
[a1,a2,a3,a4,a6] |
Generators |
[22:56:1] |
Generators of the group modulo torsion |
j |
-859814059229/350042472 |
j-invariant |
L |
5.8422301318862 |
L(r)(E,1)/r! |
Ω |
1.0691640874484 |
Real period |
R |
0.24837713705804 |
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 |
111150eu1 37050bw1 |
Quadratic twists by: -3 5 |