Atkin-Lehner |
2- 3+ 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350cd |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
Δ |
-326032704000000000 = -1 · 215 · 32 · 59 · 19 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -6 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,133412,-20017219] |
[a1,a2,a3,a4,a6] |
Generators |
[455:-11853:1] [149:1713:1] |
Generators of the group modulo torsion |
j |
16806921322610951/20866093056000 |
j-invariant |
L |
11.705735224346 |
L(r)(E,1)/r! |
Ω |
0.16327873789725 |
Real period |
R |
0.19914369498574 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17670d2 |
Quadratic twists by: 5 |