Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568w |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
494592 |
Modular degree for the optimal curve |
Δ |
-405964147696704 = -1 · 26 · 34 · 238 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 -4 3 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-190616,31983438] |
[a1,a2,a3,a4,a6] |
Generators |
[253:126:1] |
Generators of the group modulo torsion |
j |
-152827456/81 |
j-invariant |
L |
6.9563528435494 |
L(r)(E,1)/r! |
Ω |
0.52548060976041 |
Real period |
R |
3.3095192928054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999706175 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101568g1 50784s1 101568t1 |
Quadratic twists by: -4 8 -23 |