Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25992ba |
Isogeny class |
Conductor |
25992 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-194568210432 = -1 · 211 · 36 · 194 |
Discriminant |
Eigenvalues |
2- 3- 4 0 -3 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1083,25270] |
[a1,a2,a3,a4,a6] |
Generators |
[2490:124240:1] |
Generators of the group modulo torsion |
j |
-722 |
j-invariant |
L |
7.0960731726977 |
L(r)(E,1)/r! |
Ω |
0.90678998168922 |
Real period |
R |
7.8254869550707 |
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 |
51984q1 2888b1 25992o1 |
Quadratic twists by: -4 -3 -19 |