Atkin-Lehner |
2+ 3+ 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
56826d |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-39196432687104 = -1 · 213 · 39 · 72 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 11+ -5 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2982,-295372] |
[a1,a2,a3,a4,a6] |
Generators |
[91:805:1] |
Generators of the group modulo torsion |
j |
148961285901/1991385088 |
j-invariant |
L |
5.889885383265 |
L(r)(E,1)/r! |
Ω |
0.31706048321249 |
Real period |
R |
2.3220669615962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000172 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56826s1 |
Quadratic twists by: -3 |