Atkin-Lehner |
2- 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370cp |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1368576 |
Modular degree for the optimal curve |
Δ |
-14746340891601000 = -1 · 23 · 33 · 53 · 113 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 11+ -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-81215,10619597] |
[a1,a2,a3,a4,a6] |
Generators |
[137:-1514:1] |
Generators of the group modulo torsion |
j |
-2454365649169/610929000 |
j-invariant |
L |
5.7806641214463 |
L(r)(E,1)/r! |
Ω |
0.37584771647405 |
Real period |
R |
0.42723155289049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999884138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5610bh1 |
Quadratic twists by: 17 |