Atkin-Lehner |
3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12495g |
Isogeny class |
Conductor |
12495 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
194565244023556875 = 33 · 54 · 714 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-181227,-20846034] |
[a1,a2,a3,a4,a6] |
j |
5595100866606889/1653777286875 |
j-invariant |
L |
0.94660679321324 |
L(r)(E,1)/r! |
Ω |
0.23665169830331 |
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 |
37485v3 62475bv3 1785i4 |
Quadratic twists by: -3 5 -7 |