Atkin-Lehner |
3- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
91575bn |
Isogeny class |
Conductor |
91575 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
21288960 |
Modular degree for the optimal curve |
Δ |
-3.7576717243118E+23 |
Discriminant |
Eigenvalues |
-2 3- 5+ -1 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-82240425,-288573361594] |
[a1,a2,a3,a4,a6] |
Generators |
[14499:1251805:1] |
Generators of the group modulo torsion |
j |
-5400477932182072602624/32989161914396875 |
j-invariant |
L |
2.9637093869856 |
L(r)(E,1)/r! |
Ω |
0.025057610807099 |
Real period |
R |
2.6880867460911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10175d1 18315v1 |
Quadratic twists by: -3 5 |