Atkin-Lehner |
2+ 3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
105336ba |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1164779357930496 = 210 · 312 · 72 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135579,19144550] |
[a1,a2,a3,a4,a6] |
Generators |
[10975:1149120:1] |
Generators of the group modulo torsion |
j |
369210043216228/1560329001 |
j-invariant |
L |
9.2492978752035 |
L(r)(E,1)/r! |
Ω |
0.48999237002853 |
Real period |
R |
4.7191030008873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021569 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35112p2 |
Quadratic twists by: -3 |