Atkin-Lehner |
2- 3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
54390bl |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
496800 |
Modular degree for the optimal curve |
Δ |
-45871027555500000 = -1 · 25 · 33 · 56 · 72 · 375 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -1 -2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,78434,5923259] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:1645:1] |
Generators of the group modulo torsion |
j |
1089031338949319759/936143419500000 |
j-invariant |
L |
6.4782981102427 |
L(r)(E,1)/r! |
Ω |
0.2331357708218 |
Real period |
R |
2.7787662473663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000168 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54390cy1 |
Quadratic twists by: -7 |