Atkin-Lehner |
2- 5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35150y |
Isogeny class |
Conductor |
35150 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-2537830000000000 = -1 · 210 · 510 · 193 · 37 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 -1 7 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11680,-2469053] |
[a1,a2,a3,a4,a6] |
j |
-18043356825/259873792 |
j-invariant |
L |
5.868883000722 |
L(r)(E,1)/r! |
Ω |
0.19562943335721 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35150o1 |
Quadratic twists by: 5 |