Atkin-Lehner |
2- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
113600ca |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-264293580800 = -1 · 221 · 52 · 712 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 1 -4 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3713,-91777] |
[a1,a2,a3,a4,a6] |
j |
-864043465/40328 |
j-invariant |
L |
1.2198500893939 |
L(r)(E,1)/r! |
Ω |
0.30496274355308 |
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 |
113600bc1 28400k1 113600cs1 |
Quadratic twists by: -4 8 5 |