Atkin-Lehner |
2- 3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
2262i |
Isogeny class |
Conductor |
2262 |
Conductor |
∏ cp |
57 |
Product of Tamagawa factors cp |
deg |
8208 |
Modular degree for the optimal curve |
Δ |
-901906956288 = -1 · 219 · 33 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 3 13- 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-52019,4545137] |
[a1,a2,a3,a4,a6] |
Generators |
[35:1646:1] |
Generators of the group modulo torsion |
j |
-15567190192349720497/901906956288 |
j-invariant |
L |
3.4635251030489 |
L(r)(E,1)/r! |
Ω |
0.83840899346952 |
Real period |
R |
0.072474888476149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18096bf1 72384bd1 6786g1 56550q1 |
Quadratic twists by: -4 8 -3 5 |