Atkin-Lehner |
2- 3+ 5+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
37230t |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32832 |
Modular degree for the optimal curve |
Δ |
-32278410 = -1 · 2 · 32 · 5 · 173 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 5 6 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-281,-1951] |
[a1,a2,a3,a4,a6] |
Generators |
[1332:1993:64] |
Generators of the group modulo torsion |
j |
-2454365649169/32278410 |
j-invariant |
L |
6.588889966395 |
L(r)(E,1)/r! |
Ω |
0.58256588913517 |
Real period |
R |
5.6550598732937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111690bb1 |
Quadratic twists by: -3 |