Atkin-Lehner |
2+ 3+ 5- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109650m |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
4277994750 = 2 · 34 · 53 · 173 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 2 -1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-415,-1025] |
[a1,a2,a3,a4,a6] |
Generators |
[55:355:1] |
Generators of the group modulo torsion |
j |
63473450669/34223958 |
j-invariant |
L |
5.2107987774231 |
L(r)(E,1)/r! |
Ω |
1.1261677808988 |
Real period |
R |
0.38558484675215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109650dk1 |
Quadratic twists by: 5 |