Atkin-Lehner |
2- 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
24864q |
Isogeny class |
Conductor |
24864 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-32223744 = -1 · 29 · 35 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -2 4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-504,4536] |
[a1,a2,a3,a4,a6] |
Generators |
[5:46:1] |
Generators of the group modulo torsion |
j |
-27708101576/62937 |
j-invariant |
L |
5.6810907711375 |
L(r)(E,1)/r! |
Ω |
2.0836137872112 |
Real period |
R |
2.7265565269374 |
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 |
24864n1 49728bm1 74592k1 |
Quadratic twists by: -4 8 -3 |