Atkin-Lehner |
2- 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
30096r |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-2020962294262923264 = -1 · 225 · 39 · 115 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 3 0 11- -4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71091,-68785038] |
[a1,a2,a3,a4,a6] |
j |
-492851793699/25067266048 |
j-invariant |
L |
2.2971214070232 |
L(r)(E,1)/r! |
Ω |
0.11485607035111 |
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 |
3762a1 120384cb1 30096n1 |
Quadratic twists by: -4 8 -3 |