Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
54096dc |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-129277675634688 = -1 · 216 · 36 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27848,1861236] |
[a1,a2,a3,a4,a6] |
Generators |
[94:-288:1] |
Generators of the group modulo torsion |
j |
-4956477625/268272 |
j-invariant |
L |
7.2693010330419 |
L(r)(E,1)/r! |
Ω |
0.57832408688128 |
Real period |
R |
1.0474664635787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999824 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6762b1 1104g1 |
Quadratic twists by: -4 -7 |