Atkin-Lehner |
2- 3+ 7- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37842q |
Isogeny class |
Conductor |
37842 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-656940646268928 = -1 · 218 · 32 · 73 · 172 · 532 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 0 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,9541,1183817] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:-794:1] [51:-1370:1] |
Generators of the group modulo torsion |
j |
96051146860250063/656940646268928 |
j-invariant |
L |
10.186376543843 |
L(r)(E,1)/r! |
Ω |
0.37164196331841 |
Real period |
R |
0.25378808272803 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113526m1 |
Quadratic twists by: -3 |