Atkin-Lehner |
2- 3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
60270bt |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-48642237877800 = -1 · 23 · 3 · 52 · 711 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 0 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-295,335537] |
[a1,a2,a3,a4,a6] |
j |
-24137569/413452200 |
j-invariant |
L |
6.0933654516323 |
L(r)(E,1)/r! |
Ω |
0.50778045479416 |
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 |
8610l1 |
Quadratic twists by: -7 |