Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400ji |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
109884211200000000 = 224 · 36 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1748833,-890605537] |
[a1,a2,a3,a4,a6] |
Generators |
[-94655:26028:125] |
Generators of the group modulo torsion |
j |
5776556465785/1073088 |
j-invariant |
L |
9.6487405595979 |
L(r)(E,1)/r! |
Ω |
0.13128565953553 |
Real period |
R |
6.1245204944258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010574 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400bv1 27600cc1 110400fo1 |
Quadratic twists by: -4 8 5 |