Atkin-Lehner |
3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575bo |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-1279432875 = -1 · 3 · 53 · 76 · 29 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- -3 -4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-34218,2447738] |
[a1,a2,a3,a4,a6] |
Generators |
[152:857:1] [107:-3:1] |
Generators of the group modulo torsion |
j |
-301302001664/87 |
j-invariant |
L |
4.619672768828 |
L(r)(E,1)/r! |
Ω |
1.227143881258 |
Real period |
R |
0.94114325907255 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003887 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106575dc1 2175j1 |
Quadratic twists by: 5 -7 |