Atkin-Lehner |
2- 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350bv |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-275685018750000 = -1 · 24 · 312 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 1 -4 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11695,-636303] |
[a1,a2,a3,a4,a6] |
j |
621257495/968112 |
j-invariant |
L |
4.6467176961147 |
L(r)(E,1)/r! |
Ω |
0.29041985600427 |
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 |
12450d1 37350s1 |
Quadratic twists by: -3 5 |