Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
22880c |
Isogeny class |
Conductor |
22880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
-594880 = -1 · 26 · 5 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 11- 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10,32] |
[a1,a2,a3,a4,a6] |
Generators |
[21:170:27] |
Generators of the group modulo torsion |
j |
1560896/9295 |
j-invariant |
L |
8.1329294477609 |
L(r)(E,1)/r! |
Ω |
2.0978476728344 |
Real period |
R |
3.8767969443522 |
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 |
22880b1 45760bi1 114400ba1 |
Quadratic twists by: -4 8 5 |