Atkin-Lehner |
3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25215f |
Isogeny class |
Conductor |
25215 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
20679451875 = 39 · 54 · 412 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -3 1 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-691,950] |
[a1,a2,a3,a4,a6] |
Generators |
[53:311:1] [-22:86:1] |
Generators of the group modulo torsion |
j |
21708480289/12301875 |
j-invariant |
L |
5.46704377869 |
L(r)(E,1)/r! |
Ω |
1.0439006693866 |
Real period |
R |
0.29095168082429 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75645p1 126075d1 25215b1 |
Quadratic twists by: -3 5 41 |