Atkin-Lehner |
3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59565h |
Isogeny class |
Conductor |
59565 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
55308313850625 = 32 · 54 · 11 · 197 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 11+ -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17155,780200] |
[a1,a2,a3,a4,a6] |
Generators |
[173:1653:1] |
Generators of the group modulo torsion |
j |
11867954041/1175625 |
j-invariant |
L |
4.2280930763967 |
L(r)(E,1)/r! |
Ω |
0.61076440408549 |
Real period |
R |
3.4613126172706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000745 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3135f1 |
Quadratic twists by: -19 |