Atkin-Lehner |
3- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
110925bd |
Isogeny class |
Conductor |
110925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
235200 |
Modular degree for the optimal curve |
Δ |
-80285920453125 = -1 · 36 · 56 · 172 · 293 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 -3 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12755,-699128] |
[a1,a2,a3,a4,a6] |
Generators |
[60820:1269203:125] |
Generators of the group modulo torsion |
j |
-20145851361/7048421 |
j-invariant |
L |
3.584958589108 |
L(r)(E,1)/r! |
Ω |
0.22073359896973 |
Real period |
R |
8.1205546985254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000016914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12325d1 4437e1 |
Quadratic twists by: -3 5 |