Atkin-Lehner |
2+ 3+ 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
108240i |
Isogeny class |
Conductor |
108240 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1078272 |
Modular degree for the optimal curve |
Δ |
359519836500000000 = 28 · 313 · 59 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 4 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-354425,76036677] |
[a1,a2,a3,a4,a6] |
j |
19233486468452617216/1404374361328125 |
j-invariant |
L |
2.6657908149228 |
L(r)(E,1)/r! |
Ω |
0.29619904730605 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54120o1 |
Quadratic twists by: -4 |