Atkin-Lehner |
2- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
23312m |
Isogeny class |
Conductor |
23312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-1052933104 = -1 · 24 · 313 · 472 |
Discriminant |
Eigenvalues |
2- 2 3 1 0 2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1234,-16353] |
[a1,a2,a3,a4,a6] |
Generators |
[1205919:36250713:1331] |
Generators of the group modulo torsion |
j |
-12998735341312/65808319 |
j-invariant |
L |
9.3619154033891 |
L(r)(E,1)/r! |
Ω |
0.40260572297267 |
Real period |
R |
11.626654651435 |
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 |
5828e1 93248bf1 |
Quadratic twists by: -4 8 |