Atkin-Lehner |
2+ 3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224n |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-4.1662128589663E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 11- -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-627396,-364519152] |
[a1,a2,a3,a4,a6] |
j |
-106686551049528276304/162742689803369907 |
j-invariant |
L |
2.8969810295057 |
L(r)(E,1)/r! |
Ω |
0.08047169533373 |
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 |
35112f2 |
Quadratic twists by: -4 |