Atkin-Lehner |
2+ 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200i |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6692876100000000 = 28 · 38 · 58 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1363508,613264512] |
[a1,a2,a3,a4,a6] |
Generators |
[272:16200:1] [7897:694450:1] |
Generators of the group modulo torsion |
j |
70086941838912976/1673219025 |
j-invariant |
L |
9.4778220891304 |
L(r)(E,1)/r! |
Ω |
0.3902517481041 |
Real period |
R |
12.143215423077 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999960008 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60600bd2 24240n2 |
Quadratic twists by: -4 5 |