Atkin-Lehner |
2+ 3- 101- |
Signs for the Atkin-Lehner involutions |
Class |
7272c |
Isogeny class |
Conductor |
7272 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
18849024 = 28 · 36 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 2 -3 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1164,15284] |
[a1,a2,a3,a4,a6] |
Generators |
[22:18:1] |
Generators of the group modulo torsion |
j |
934577152/101 |
j-invariant |
L |
3.6197493994624 |
L(r)(E,1)/r! |
Ω |
2.0866497366952 |
Real period |
R |
0.21683978243968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14544h1 58176r1 808b1 |
Quadratic twists by: -4 8 -3 |