Atkin-Lehner |
2+ 3+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
54390l |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
816480 |
Modular degree for the optimal curve |
Δ |
-187966015421022720 = -1 · 29 · 32 · 5 · 76 · 375 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -5 -2 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8992,-20865536] |
[a1,a2,a3,a4,a6] |
Generators |
[316645:9289111:343] |
Generators of the group modulo torsion |
j |
-683565019129/1597684769280 |
j-invariant |
L |
2.9938411660538 |
L(r)(E,1)/r! |
Ω |
0.14459918110738 |
Real period |
R |
10.352206503077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1110e1 |
Quadratic twists by: -7 |