Atkin-Lehner |
2- 3- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
52632o |
Isogeny class |
Conductor |
52632 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-466400162329344 = -1 · 28 · 36 · 17 · 435 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 4 5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22071,-1634758] |
[a1,a2,a3,a4,a6] |
j |
-6371214852688/2499143531 |
j-invariant |
L |
3.8423558151116 |
L(r)(E,1)/r! |
Ω |
0.19211779077786 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105264g1 5848d1 |
Quadratic twists by: -4 -3 |