Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110940d |
Isogeny class |
Conductor |
110940 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1820448 |
Modular degree for the optimal curve |
Δ |
-224413445329939200 = -1 · 28 · 3 · 52 · 438 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 0 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2332205,1371843225] |
[a1,a2,a3,a4,a6] |
Generators |
[775:5410:1] |
Generators of the group modulo torsion |
j |
-468852736/75 |
j-invariant |
L |
7.8159573081524 |
L(r)(E,1)/r! |
Ω |
0.30425981620807 |
Real period |
R |
4.2814051659385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110940g1 |
Quadratic twists by: -43 |