Atkin-Lehner |
3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
106575cw |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-95016449142601875 = -1 · 32 · 54 · 77 · 295 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 2 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-61658,15937919] |
[a1,a2,a3,a4,a6] |
j |
-352558182400/1292202387 |
j-invariant |
L |
9.4562484968887 |
L(r)(E,1)/r! |
Ω |
0.29550776191112 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106575i2 15225k1 |
Quadratic twists by: 5 -7 |