Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650bj |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
355216640625000 = 23 · 310 · 510 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-59875317,-178313160659] |
[a1,a2,a3,a4,a6] |
j |
2084105208962185000201/31185000 |
j-invariant |
L |
0.86837553723396 |
L(r)(E,1)/r! |
Ω |
0.05427347107671 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550bq4 6930x3 |
Quadratic twists by: -3 5 |