Atkin-Lehner |
2+ 3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59280t |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-985952962800 = -1 · 24 · 310 · 52 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 6 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2480,5675] |
[a1,a2,a3,a4,a6] |
Generators |
[5:135:1] |
Generators of the group modulo torsion |
j |
105386174852864/61622060175 |
j-invariant |
L |
9.1908738671121 |
L(r)(E,1)/r! |
Ω |
0.53215066511454 |
Real period |
R |
0.86355937043551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000271 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29640e1 |
Quadratic twists by: -4 |