Atkin-Lehner |
3+ 5+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
80925d |
Isogeny class |
Conductor |
80925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-3156075 = -1 · 32 · 52 · 132 · 83 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -1 -3 13- -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-78,246] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:115:8] [6:3:1] |
Generators of the group modulo torsion |
j |
-2100948745/126243 |
j-invariant |
L |
5.6748424261649 |
L(r)(E,1)/r! |
Ω |
2.487316626884 |
Real period |
R |
0.57037796925687 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80925q1 |
Quadratic twists by: 5 |