Atkin-Lehner |
2+ 3+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
37446a |
Isogeny class |
Conductor |
37446 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6211296 |
Modular degree for the optimal curve |
Δ |
1.1755180740004E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 2 3 -2 2 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-65153049,195554418363] |
[a1,a2,a3,a4,a6] |
Generators |
[307553920902705:-381088457988636389:914085077625] |
Generators of the group modulo torsion |
j |
20160960812953/774840978 |
j-invariant |
L |
4.6894835257148 |
L(r)(E,1)/r! |
Ω |
0.085937798419602 |
Real period |
R |
27.284173041168 |
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 |
112338o1 37446h1 |
Quadratic twists by: -3 -79 |