Atkin-Lehner |
2+ 3+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390m |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-10884578416110 = -1 · 2 · 36 · 5 · 79 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 1 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2033,155611] |
[a1,a2,a3,a4,a6] |
Generators |
[55:634:1] [125:1481:1] |
Generators of the group modulo torsion |
j |
7892485271/92517390 |
j-invariant |
L |
6.7394255873873 |
L(r)(E,1)/r! |
Ω |
0.5310803545379 |
Real period |
R |
1.5862537396185 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7770j1 |
Quadratic twists by: -7 |