Atkin-Lehner |
2+ 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
44720d |
Isogeny class |
Conductor |
44720 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
83200 |
Modular degree for the optimal curve |
Δ |
-152888780720 = -1 · 24 · 5 · 13 · 435 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 6 13+ 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34895,-2497430] |
[a1,a2,a3,a4,a6] |
Generators |
[181870:6874582:125] |
Generators of the group modulo torsion |
j |
-293701242055899136/9555548795 |
j-invariant |
L |
5.2915278125546 |
L(r)(E,1)/r! |
Ω |
0.17465333119899 |
Real period |
R |
6.0594639406307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22360a1 |
Quadratic twists by: -4 |