Atkin-Lehner |
2+ 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870w |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-19353090685500 = -1 · 22 · 36 · 53 · 11 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12924,607068] |
[a1,a2,a3,a4,a6] |
j |
-327495950129089/26547449500 |
j-invariant |
L |
1.3445934044021 |
L(r)(E,1)/r! |
Ω |
0.67229670220103 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
102960ew3 1430g3 64350dq3 |
Quadratic twists by: -4 -3 5 |