Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
60840bp |
Isogeny class |
Conductor |
60840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-6227071344000000 = -1 · 210 · 311 · 56 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 13- 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29523,4269278] |
[a1,a2,a3,a4,a6] |
j |
-1735192372/3796875 |
j-invariant |
L |
3.0121329324365 |
L(r)(E,1)/r! |
Ω |
0.37651661725348 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680be1 20280j1 60840bd1 |
Quadratic twists by: -4 -3 13 |