Atkin-Lehner |
3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12495b |
Isogeny class |
Conductor |
12495 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.0771567894188E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3515261,2530405814] |
[a1,a2,a3,a4,a6] |
j |
40832710302042509761/91556816413125 |
j-invariant |
L |
0.45653564564398 |
L(r)(E,1)/r! |
Ω |
0.22826782282199 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37485br6 62475cg6 1785o5 |
Quadratic twists by: -3 5 -7 |