Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30324j |
Isogeny class |
Conductor |
30324 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
410400 |
Modular degree for the optimal curve |
Δ |
-219220027415106816 = -1 · 28 · 3 · 75 · 198 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -1 4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-454980,120100836] |
[a1,a2,a3,a4,a6] |
j |
-2395702096/50421 |
j-invariant |
L |
4.7267295475969 |
L(r)(E,1)/r! |
Ω |
0.31511530317294 |
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 |
121296bq1 90972f1 30324d1 |
Quadratic twists by: -4 -3 -19 |