Atkin-Lehner |
2+ 3- 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
60390l |
Isogeny class |
Conductor |
60390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2496000 |
Modular degree for the optimal curve |
Δ |
1565308800000000 = 213 · 36 · 58 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -1 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14427369,21096144333] |
[a1,a2,a3,a4,a6] |
j |
455572624814874647288209/2147200000000 |
j-invariant |
L |
2.5723579617901 |
L(r)(E,1)/r! |
Ω |
0.3215447448988 |
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 |
6710g1 |
Quadratic twists by: -3 |