Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34650z |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
173820100608000000 = 220 · 39 · 56 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-145017,7068141] |
[a1,a2,a3,a4,a6] |
Generators |
[379:2348:1] |
Generators of the group modulo torsion |
j |
29609739866953/15259926528 |
j-invariant |
L |
4.1273764670575 |
L(r)(E,1)/r! |
Ω |
0.28311418351856 |
Real period |
R |
3.6446217704127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550cl1 1386g1 |
Quadratic twists by: -3 5 |