Atkin-Lehner |
2+ 3- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
88578s |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7954669517098752 = 28 · 38 · 7 · 192 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-100647,-11491331] |
[a1,a2,a3,a4,a6] |
Generators |
[-210:697:1] |
Generators of the group modulo torsion |
j |
154668229453536625/10911755167488 |
j-invariant |
L |
5.3508682121061 |
L(r)(E,1)/r! |
Ω |
0.26923132384345 |
Real period |
R |
1.2421632763483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980758 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29526r2 |
Quadratic twists by: -3 |