Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2450u |
Isogeny class |
Conductor |
2450 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
Δ |
-944504995840000000 = -1 · 221 · 57 · 78 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 3 1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-194188,-57275219] |
[a1,a2,a3,a4,a6] |
j |
-8990558521/10485760 |
j-invariant |
L |
4.5703467654466 |
L(r)(E,1)/r! |
Ω |
0.10881778012968 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19600bw2 78400m2 22050x2 490c2 |
Quadratic twists by: -4 8 -3 5 |