Atkin-Lehner |
3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113715c |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3283200 |
Modular degree for the optimal curve |
Δ |
-50703645321133875 = -1 · 33 · 53 · 75 · 197 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 2 -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1571433,-758291601] |
[a1,a2,a3,a4,a6] |
Generators |
[97698:10737219:8] |
Generators of the group modulo torsion |
j |
-337851576225792/39916625 |
j-invariant |
L |
13.048374204577 |
L(r)(E,1)/r! |
Ω |
0.067420584501106 |
Real period |
R |
4.8384237010561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034494 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113715f1 5985c1 |
Quadratic twists by: -3 -19 |