Atkin-Lehner |
3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
2541b |
Isogeny class |
Conductor |
2541 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-337018988603913 = -1 · 3 · 78 · 117 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,15244,-499011] |
[a1,a2,a3,a4,a6] |
j |
221115865823/190238433 |
j-invariant |
L |
0.59604171183004 |
L(r)(E,1)/r! |
Ω |
0.29802085591502 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40656dk3 7623i4 63525bv3 17787o4 |
Quadratic twists by: -4 -3 5 -7 |