Atkin-Lehner |
2- 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
35550bm |
Isogeny class |
Conductor |
35550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-4218090820312500 = -1 · 22 · 37 · 514 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 -3 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-76730,8776397] |
[a1,a2,a3,a4,a6] |
Generators |
[249:2125:1] |
Generators of the group modulo torsion |
j |
-4385977971409/370312500 |
j-invariant |
L |
8.5763534429679 |
L(r)(E,1)/r! |
Ω |
0.42887019204811 |
Real period |
R |
2.499693847342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11850m1 7110k1 |
Quadratic twists by: -3 5 |