Atkin-Lehner |
2- 3+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
25296l |
Isogeny class |
Conductor |
25296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
20476403712 = 213 · 32 · 172 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1360,18496] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:168:1] [-14:186:1] |
Generators of the group modulo torsion |
j |
67967263441/4999122 |
j-invariant |
L |
4.7755316646213 |
L(r)(E,1)/r! |
Ω |
1.1890876530187 |
Real period |
R |
0.50201636234492 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3162b2 101184bl2 75888u2 |
Quadratic twists by: -4 8 -3 |