Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
25392r |
Isogeny class |
Conductor |
25392 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
-6495426363147264 = -1 · 210 · 34 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 3 -4 0 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4056,3877668] |
[a1,a2,a3,a4,a6] |
Generators |
[176:3174:1] |
Generators of the group modulo torsion |
j |
92/81 |
j-invariant |
L |
7.0774687234399 |
L(r)(E,1)/r! |
Ω |
0.32995687015621 |
Real period |
R |
0.89373659655494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12696g1 101568cw1 76176bb1 25392s1 |
Quadratic twists by: -4 8 -3 -23 |