Atkin-Lehner |
2+ 7- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
10234f |
Isogeny class |
Conductor |
10234 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-1059669296 = -1 · 24 · 72 · 17 · 433 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- 6 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6325,193072] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:386:1] |
Generators of the group modulo torsion |
j |
-27977351203561033/1059669296 |
j-invariant |
L |
3.2721555601741 |
L(r)(E,1)/r! |
Ω |
1.4560552742788 |
Real period |
R |
1.6854557058942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
81872n1 92106cg1 71638j1 |
Quadratic twists by: -4 -3 -7 |