Atkin-Lehner |
2+ 3- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
60306k |
Isogeny class |
Conductor |
60306 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
723672 = 23 · 32 · 19 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 3 3 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23,2] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1:1] |
Generators of the group modulo torsion |
j |
2387929/1368 |
j-invariant |
L |
4.9587395223858 |
L(r)(E,1)/r! |
Ω |
2.4409336848914 |
Real period |
R |
1.0157464648166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996482 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60306m1 |
Quadratic twists by: -23 |