Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54096bj |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-48866961389912064 = -1 · 217 · 39 · 77 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 0 1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-482176,-129148928] |
[a1,a2,a3,a4,a6] |
Generators |
[106080:1061536:125] |
Generators of the group modulo torsion |
j |
-25727239787761/101406816 |
j-invariant |
L |
4.4563922496832 |
L(r)(E,1)/r! |
Ω |
0.090566092953239 |
Real period |
R |
6.1507459695182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6762bl1 7728o1 |
Quadratic twists by: -4 -7 |