Atkin-Lehner |
2+ 3+ 5+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
79950a |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-59194230468750 = -1 · 2 · 37 · 59 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -6 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-179400,-29324250] |
[a1,a2,a3,a4,a6] |
Generators |
[14115:114005:27] |
Generators of the group modulo torsion |
j |
-40867190734750849/3788430750 |
j-invariant |
L |
2.759928537215 |
L(r)(E,1)/r! |
Ω |
0.11598750826991 |
Real period |
R |
5.9487624541387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15990s1 |
Quadratic twists by: 5 |