Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350da |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
294079625000000 = 26 · 59 · 73 · 193 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -4 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23305,1098697] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:1440:1] |
Generators of the group modulo torsion |
j |
104487111/21952 |
j-invariant |
L |
7.6507886147149 |
L(r)(E,1)/r! |
Ω |
0.51707916752916 |
Real period |
R |
2.4660274973167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999244728 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126350bl1 126350ba1 |
Quadratic twists by: 5 -19 |