Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520bv |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
19269992857600 = 214 · 52 · 196 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10108,-329232] |
[a1,a2,a3,a4,a6] |
Generators |
[-51656:90300:1331] |
Generators of the group modulo torsion |
j |
148176/25 |
j-invariant |
L |
7.3505197162381 |
L(r)(E,1)/r! |
Ω |
0.48160700196562 |
Real period |
R |
7.6312425739973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002133 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
115520j2 28880h2 320a2 |
Quadratic twists by: -4 8 -19 |