Atkin-Lehner |
3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78585s |
Isogeny class |
Conductor |
78585 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
241823232 |
Modular degree for the optimal curve |
Δ |
-2.1847978702996E+30 |
Discriminant |
Eigenvalues |
-2 3- 5- -2 1 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-13623677500,-616176057131696] |
[a1,a2,a3,a4,a6] |
Generators |
[1359401:1578923482:1] |
Generators of the group modulo torsion |
j |
-57935753764344597320800620544/452638144641656215051875 |
j-invariant |
L |
3.9082238881902 |
L(r)(E,1)/r! |
Ω |
0.00698382562958 |
Real period |
R |
1.9430928746917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6045e1 |
Quadratic twists by: 13 |