Atkin-Lehner |
3+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127317a |
Isogeny class |
Conductor |
127317 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
853632 |
Modular degree for the optimal curve |
Δ |
-2145365491328667 = -1 · 36 · 31 · 377 |
Discriminant |
Eigenvalues |
-1 3+ 4 3 0 -1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3451,-2231284] |
[a1,a2,a3,a4,a6] |
Generators |
[17620:32208:125] |
Generators of the group modulo torsion |
j |
-1771561/836163 |
j-invariant |
L |
5.8559307590337 |
L(r)(E,1)/r! |
Ω |
0.20809427905349 |
Real period |
R |
7.0351896657457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997831975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3441a1 |
Quadratic twists by: 37 |