Atkin-Lehner |
2+ 3+ 5+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
37230d |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-1187132905800 = -1 · 23 · 314 · 52 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 1 -1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1163,54117] |
[a1,a2,a3,a4,a6] |
Generators |
[311:5312:1] |
Generators of the group modulo torsion |
j |
-174199219125049/1187132905800 |
j-invariant |
L |
3.4436000992423 |
L(r)(E,1)/r! |
Ω |
0.74494084040848 |
Real period |
R |
1.1556622729111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111690bu1 |
Quadratic twists by: -3 |