Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680eb |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-60893972030361600 = -1 · 212 · 36 · 52 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,96837,2535338] |
[a1,a2,a3,a4,a6] |
Generators |
[143:-4394:1] |
Generators of the group modulo torsion |
j |
6967871/4225 |
j-invariant |
L |
2.5150997968061 |
L(r)(E,1)/r! |
Ω |
0.21548659711149 |
Real period |
R |
1.4589653233292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056391 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7605j2 13520bc2 9360bx2 |
Quadratic twists by: -4 -3 13 |