Atkin-Lehner |
3- 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
110715t |
Isogeny class |
Conductor |
110715 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
23732743509915 = 3 · 5 · 1110 · 61 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8645217683,309393369272183] |
[a1,a2,a3,a4,a6] |
j |
40336238888072241391643224321/13396515 |
j-invariant |
L |
3.9436599677968 |
L(r)(E,1)/r! |
Ω |
0.12323936614847 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10065l7 |
Quadratic twists by: -11 |