Atkin-Lehner |
2+ 3+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60306f |
Isogeny class |
Conductor |
60306 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-22192608 = -1 · 25 · 3 · 19 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 2 1 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,70,-12] |
[a1,a2,a3,a4,a6] |
Generators |
[13:51:1] |
Generators of the group modulo torsion |
j |
3048625/1824 |
j-invariant |
L |
3.3697099229273 |
L(r)(E,1)/r! |
Ω |
1.2506009634448 |
Real period |
R |
1.3472362573461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60306a1 |
Quadratic twists by: -23 |