Atkin-Lehner |
3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113925cb |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
3816759896455078125 = 37 · 510 · 78 · 31 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- -5 -4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-683958,-196609381] |
[a1,a2,a3,a4,a6] |
Generators |
[-4758:3083:8] |
Generators of the group modulo torsion |
j |
30798131200/3322053 |
j-invariant |
L |
15.533150164657 |
L(r)(E,1)/r! |
Ω |
0.16717342771714 |
Real period |
R |
3.3184422274249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021334 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113925bl1 16275k1 |
Quadratic twists by: 5 -7 |