Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75240bg |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
16507643961600 = 28 · 310 · 52 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7023,-114478] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:162:1] |
Generators of the group modulo torsion |
j |
205269405136/88454025 |
j-invariant |
L |
6.512750177109 |
L(r)(E,1)/r! |
Ω |
0.54229487561305 |
Real period |
R |
1.50120130016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975216 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25080e2 |
Quadratic twists by: -3 |