Atkin-Lehner |
2+ 3+ 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
12390a |
Isogeny class |
Conductor |
12390 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2923200 |
Modular degree for the optimal curve |
Δ |
-3.9029391428355E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 3 -2 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19462018,-100639490828] |
[a1,a2,a3,a4,a6] |
j |
-815243522220777542426083369/3902939142835492884096000 |
j-invariant |
L |
0.91042651053446 |
L(r)(E,1)/r! |
Ω |
0.032515232519088 |
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 |
99120cs1 37170bg1 61950cj1 86730bj1 |
Quadratic twists by: -4 -3 5 -7 |