Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
10650g |
Isogeny class |
Conductor |
10650 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
104648206289062500 = 22 · 312 · 510 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-306376,-63415102] |
[a1,a2,a3,a4,a6] |
j |
203547547380881521/6697485202500 |
j-invariant |
L |
2.4400185036135 |
L(r)(E,1)/r! |
Ω |
0.20333487530113 |
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 |
85200bx2 31950ci2 2130j2 |
Quadratic twists by: -4 -3 5 |