Atkin-Lehner |
2- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37510o |
Isogeny class |
Conductor |
37510 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-363096800000 = -1 · 28 · 55 · 114 · 31 |
Discriminant |
Eigenvalues |
2- -3 5- -2 11- 3 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5952,180579] |
[a1,a2,a3,a4,a6] |
Generators |
[47:31:1] |
Generators of the group modulo torsion |
j |
-1592477597601/24800000 |
j-invariant |
L |
5.5305143258611 |
L(r)(E,1)/r! |
Ω |
0.95775328891741 |
Real period |
R |
0.048120554547238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37510i1 |
Quadratic twists by: -11 |