Atkin-Lehner |
3- 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
72471j |
Isogeny class |
Conductor |
72471 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
957365305368900183 = 314 · 77 · 172 · 292 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-463933,112108898] |
[a1,a2,a3,a4,a6] |
Generators |
[887:-20410:1] |
Generators of the group modulo torsion |
j |
93864490418994625/8137470827367 |
j-invariant |
L |
4.5757046843084 |
L(r)(E,1)/r! |
Ω |
0.27181287688434 |
Real period |
R |
0.60121516794571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000842 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10353a2 |
Quadratic twists by: -7 |