Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
25392n |
Isogeny class |
Conductor |
25392 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-17408348928 = -1 · 28 · 35 · 234 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 -6 -7 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9169,334955] |
[a1,a2,a3,a4,a6] |
Generators |
[38:207:1] |
Generators of the group modulo torsion |
j |
-1190106112/243 |
j-invariant |
L |
4.839649787056 |
L(r)(E,1)/r! |
Ω |
1.1961197971067 |
Real period |
R |
0.26974164286681 |
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 |
12696f1 101568ch1 76176g1 25392j1 |
Quadratic twists by: -4 8 -3 -23 |