Atkin-Lehner |
2+ 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
23856c |
Isogeny class |
Conductor |
23856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5248 |
Modular degree for the optimal curve |
Δ |
-1526784 = -1 · 210 · 3 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -5 -5 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,192] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:8:1] [4:-4:1] |
Generators of the group modulo torsion |
j |
-19307236/1491 |
j-invariant |
L |
6.3583067430976 |
L(r)(E,1)/r! |
Ω |
2.6297190533617 |
Real period |
R |
0.60446635306626 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11928l1 95424cl1 71568r1 |
Quadratic twists by: -4 8 -3 |