Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550cq |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-4919906250 = -1 · 2 · 33 · 56 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4205,106047] |
[a1,a2,a3,a4,a6] |
Generators |
[310:-51:8] |
Generators of the group modulo torsion |
j |
-19486825371/11662 |
j-invariant |
L |
9.3780704418271 |
L(r)(E,1)/r! |
Ω |
1.3520645217645 |
Real period |
R |
3.4680558104911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53550b2 2142b1 |
Quadratic twists by: -3 5 |