Atkin-Lehner |
2+ 3+ 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
108240g |
Isogeny class |
Conductor |
108240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
47104 |
Modular degree for the optimal curve |
Δ |
355027200 = 28 · 3 · 52 · 11 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-220,-800] |
[a1,a2,a3,a4,a6] |
Generators |
[45:280:1] |
Generators of the group modulo torsion |
j |
4620876496/1386825 |
j-invariant |
L |
8.0130635347014 |
L(r)(E,1)/r! |
Ω |
1.2679254703823 |
Real period |
R |
3.1599110982905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004204 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54120g1 |
Quadratic twists by: -4 |