Atkin-Lehner |
2+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
53792c |
Isogeny class |
Conductor |
53792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
12464273528384 = 26 · 417 |
Discriminant |
Eigenvalues |
2+ 2 -2 0 -6 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24094,1437504] |
[a1,a2,a3,a4,a6] |
Generators |
[168675:407094:2197] |
Generators of the group modulo torsion |
j |
5088448/41 |
j-invariant |
L |
6.6703571682316 |
L(r)(E,1)/r! |
Ω |
0.71529719712251 |
Real period |
R |
9.3252947097563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53792d1 107584m1 1312b1 |
Quadratic twists by: -4 8 41 |