Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1430f |
Isogeny class |
Conductor |
1430 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
9856 |
Modular degree for the optimal curve |
Δ |
-609157120000000 = -1 · 222 · 57 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11- 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,9029,1144393] |
[a1,a2,a3,a4,a6] |
j |
81402860249195471/609157120000000 |
j-invariant |
L |
4.125311106921 |
L(r)(E,1)/r! |
Ω |
0.37502828244736 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11440k1 45760q1 12870v1 7150i1 |
Quadratic twists by: -4 8 -3 5 |