Atkin-Lehner |
2+ 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
37350q |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61200 |
Modular degree for the optimal curve |
Δ |
-1548979200 = -1 · 210 · 36 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19827,1079541] |
[a1,a2,a3,a4,a6] |
Generators |
[70:141:1] |
Generators of the group modulo torsion |
j |
-47297644854745/84992 |
j-invariant |
L |
4.3335423084229 |
L(r)(E,1)/r! |
Ω |
1.2894449606766 |
Real period |
R |
1.6803905713618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4150i1 37350bt1 |
Quadratic twists by: -3 5 |