Atkin-Lehner |
2- 5- 37+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
79550r |
Isogeny class |
Conductor |
79550 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
705600 |
Modular degree for the optimal curve |
Δ |
16997851221875000 = 23 · 58 · 37 · 435 |
Discriminant |
Eigenvalues |
2- 0 5- 3 -5 2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-268930,53378697] |
[a1,a2,a3,a4,a6] |
Generators |
[219:2115:1] |
Generators of the group modulo torsion |
j |
5506554210070545/43514499128 |
j-invariant |
L |
10.484589671642 |
L(r)(E,1)/r! |
Ω |
0.39199049451693 |
Real period |
R |
2.9718945346829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970623 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79550b1 |
Quadratic twists by: 5 |