Atkin-Lehner |
2+ 3+ 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184s |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
6399411918907392 = 211 · 32 · 76 · 112 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1036824,406682640] |
[a1,a2,a3,a4,a6] |
Generators |
[-1032:19404:1] [-640:28420:1] |
Generators of the group modulo torsion |
j |
60187915594794787634/3124712851029 |
j-invariant |
L |
8.9476988315435 |
L(r)(E,1)/r! |
Ω |
0.39941195098033 |
Real period |
R |
0.31114140317207 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53592h2 |
Quadratic twists by: -4 |