Atkin-Lehner |
2+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
118336j |
Isogeny class |
Conductor |
118336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-4453476124377088 = -1 · 214 · 437 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 -1 1 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,29584,-2544224] |
[a1,a2,a3,a4,a6] |
Generators |
[129:1849:1] [68829951:3317257769:29791] |
Generators of the group modulo torsion |
j |
27648/43 |
j-invariant |
L |
10.686144676752 |
L(r)(E,1)/r! |
Ω |
0.2303473991538 |
Real period |
R |
11.597856882413 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118336be1 14792c1 2752a1 |
Quadratic twists by: -4 8 -43 |