Atkin-Lehner |
3- 5+ 41+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
32595c |
Isogeny class |
Conductor |
32595 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69248 |
Modular degree for the optimal curve |
Δ |
-215941875 = -1 · 3 · 54 · 41 · 532 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 5 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12816,-562735] |
[a1,a2,a3,a4,a6] |
Generators |
[322874206:936348173:2406104] |
Generators of the group modulo torsion |
j |
-232817217670549504/215941875 |
j-invariant |
L |
12.100594287221 |
L(r)(E,1)/r! |
Ω |
0.22435129788202 |
Real period |
R |
13.4839807051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97785h1 |
Quadratic twists by: -3 |