Atkin-Lehner |
3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25215c |
Isogeny class |
Conductor |
25215 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-74170576451025 = -1 · 316 · 52 · 413 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 0 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-137,-414414] |
[a1,a2,a3,a4,a6] |
j |
-4173281/1076168025 |
j-invariant |
L |
2.2445183387885 |
L(r)(E,1)/r! |
Ω |
0.28056479234858 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75645j2 126075v2 25215g2 |
Quadratic twists by: -3 5 41 |