Atkin-Lehner |
3- 13+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82251d |
Isogeny class |
Conductor |
82251 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
-131734270863 = -1 · 38 · 134 · 19 · 37 |
Discriminant |
Eigenvalues |
-1 3- -2 0 4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,679,-16248] |
[a1,a2,a3,a4,a6] |
Generators |
[4330:25146:125] |
Generators of the group modulo torsion |
j |
47555965367/180705447 |
j-invariant |
L |
3.2288743064101 |
L(r)(E,1)/r! |
Ω |
0.52798804453586 |
Real period |
R |
6.115430721178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951711 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27417a1 |
Quadratic twists by: -3 |