Atkin-Lehner |
2+ 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
60600m |
Isogeny class |
Conductor |
60600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
26837770500000000 = 28 · 312 · 59 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80908,-4069312] |
[a1,a2,a3,a4,a6] |
j |
14643452605264/6709442625 |
j-invariant |
L |
3.5481554566125 |
L(r)(E,1)/r! |
Ω |
0.29567962148471 |
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 |
121200c1 12120k1 |
Quadratic twists by: -4 5 |