Atkin-Lehner |
2- 3+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60306q |
Isogeny class |
Conductor |
60306 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
10174464 |
Modular degree for the optimal curve |
Δ |
-8.4414561015462E+19 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 -4 3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-326239601,-2268188613745] |
[a1,a2,a3,a4,a6] |
j |
-49035550569835214929/1077940224 |
j-invariant |
L |
0.85256328955956 |
L(r)(E,1)/r! |
Ω |
0.017761735118199 |
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 |
60306n1 |
Quadratic twists by: -23 |