Atkin-Lehner |
2+ 3+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
24816a |
Isogeny class |
Conductor |
24816 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-94726444032 = -1 · 210 · 34 · 11 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -5 11+ 3 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,432,14256] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:18:1] [-10:94:1] |
Generators of the group modulo torsion |
j |
8686989500/92506293 |
j-invariant |
L |
6.2081650764971 |
L(r)(E,1)/r! |
Ω |
0.78662545713754 |
Real period |
R |
0.65767905807516 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12408h1 99264cf1 74448k1 |
Quadratic twists by: -4 8 -3 |