Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390cq |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
142560 |
Modular degree for the optimal curve |
Δ |
-23506270200 = -1 · 23 · 33 · 52 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 -1 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-42386,3355260] |
[a1,a2,a3,a4,a6] |
Generators |
[118:-74:1] |
Generators of the group modulo torsion |
j |
-71581931663761/199800 |
j-invariant |
L |
11.609675583586 |
L(r)(E,1)/r! |
Ω |
1.0430604749596 |
Real period |
R |
0.61835530378984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1110l1 |
Quadratic twists by: -7 |