Atkin-Lehner |
2+ 3- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
105792q |
Isogeny class |
Conductor |
105792 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-2605022208 = -1 · 210 · 35 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 3 1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-153,2511] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:57:1] |
Generators of the group modulo torsion |
j |
-389344000/2543967 |
j-invariant |
L |
9.8701474129947 |
L(r)(E,1)/r! |
Ω |
1.2420131828621 |
Real period |
R |
0.79468942442229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988436 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105792bl1 6612a1 |
Quadratic twists by: -4 8 |