Atkin-Lehner |
2+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
4984b |
Isogeny class |
Conductor |
4984 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-10722059264 = -1 · 210 · 76 · 89 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- 0 4 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2856,58016] |
[a1,a2,a3,a4,a6] |
Generators |
[28:28:1] |
Generators of the group modulo torsion |
j |
-2516809936036/10470761 |
j-invariant |
L |
4.3132213759471 |
L(r)(E,1)/r! |
Ω |
1.2877628762127 |
Real period |
R |
0.27911591590476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9968a1 39872r1 44856f1 124600o1 |
Quadratic twists by: -4 8 -3 5 |