Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
4400t |
Isogeny class |
Conductor |
4400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
3781250000 = 24 · 59 · 112 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1133,-14762] |
[a1,a2,a3,a4,a6] |
Generators |
[198:2750:1] |
Generators of the group modulo torsion |
j |
643956736/15125 |
j-invariant |
L |
2.2538950386581 |
L(r)(E,1)/r! |
Ω |
0.8240080978032 |
Real period |
R |
1.3676413160665 |
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 |
1100b1 17600bv1 39600dl1 880j1 |
Quadratic twists by: -4 8 -3 5 |