Atkin-Lehner |
3+ 5- 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
23055d |
Isogeny class |
Conductor |
23055 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
11282540625 = 34 · 55 · 292 · 53 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 0 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3537,-82296] |
[a1,a2,a3,a4,a6] |
Generators |
[108:846:1] |
Generators of the group modulo torsion |
j |
4895766888629401/11282540625 |
j-invariant |
L |
5.9780469741323 |
L(r)(E,1)/r! |
Ω |
0.61913441057236 |
Real period |
R |
1.9310982791623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69165m1 115275l1 |
Quadratic twists by: -3 5 |