Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280bf |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-228614400000 = -1 · 211 · 36 · 55 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 3 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2163,-45038] |
[a1,a2,a3,a4,a6] |
Generators |
[239:3618:1] |
Generators of the group modulo torsion |
j |
-15298178/3125 |
j-invariant |
L |
5.2545157769576 |
L(r)(E,1)/r! |
Ω |
0.3462276312498 |
Real period |
R |
3.7941193182576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17640p1 3920n1 35280bw1 |
Quadratic twists by: -4 -3 -7 |