Atkin-Lehner |
2- 7- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82544x |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
232443904 = 212 · 7 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 1 1 7- 11+ 5 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-320,-2188] |
[a1,a2,a3,a4,a6] |
Generators |
[26:88:1] |
Generators of the group modulo torsion |
j |
887503681/56749 |
j-invariant |
L |
9.1834692079018 |
L(r)(E,1)/r! |
Ω |
1.1330186866666 |
Real period |
R |
1.0131639174292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5159g1 |
Quadratic twists by: -4 |