Atkin-Lehner |
2+ 3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25830o |
Isogeny class |
Conductor |
25830 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
17158901287500000 = 25 · 314 · 58 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-450324,-116031632] |
[a1,a2,a3,a4,a6] |
Generators |
[-393:559:1] |
Generators of the group modulo torsion |
j |
13853898649143943489/23537587500000 |
j-invariant |
L |
3.9983078480018 |
L(r)(E,1)/r! |
Ω |
0.1843157957013 |
Real period |
R |
2.7115878978173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8610j4 129150cy4 |
Quadratic twists by: -3 5 |