Atkin-Lehner |
3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12495g |
Isogeny class |
Conductor |
12495 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1487804198364225 = 36 · 52 · 710 · 172 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-68772,6660459] |
[a1,a2,a3,a4,a6] |
j |
305759741604409/12646127025 |
j-invariant |
L |
0.94660679321324 |
L(r)(E,1)/r! |
Ω |
0.47330339660662 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37485v2 62475bv2 1785i2 |
Quadratic twists by: -3 5 -7 |