Atkin-Lehner |
3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775bg |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4753122152431640625 = 314 · 510 · 112 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-628880,-160603878] |
[a1,a2,a3,a4,a6] |
Generators |
[-432:5721:1] |
Generators of the group modulo torsion |
j |
2414787172415281/417283700625 |
j-invariant |
L |
3.6058159135798 |
L(r)(E,1)/r! |
Ω |
0.17153559301664 |
Real period |
R |
5.255200758808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979071 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23925a2 14355e2 |
Quadratic twists by: -3 5 |