Atkin-Lehner |
2- 3- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37050co |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-897858940680000 = -1 · 26 · 314 · 54 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -1 13- -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27813,2292417] |
[a1,a2,a3,a4,a6] |
Generators |
[168:-1623:1] |
Generators of the group modulo torsion |
j |
-3807046471005025/1436574305088 |
j-invariant |
L |
11.09059829791 |
L(r)(E,1)/r! |
Ω |
0.46854216799888 |
Real period |
R |
0.14089546377635 |
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 |
111150ch1 37050c1 |
Quadratic twists by: -3 5 |