Atkin-Lehner |
2+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26714c |
Isogeny class |
Conductor |
26714 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
-3.0964157355888E+20 |
Discriminant |
Eigenvalues |
2+ 1 -2 1 -2 -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,864948,788041866] |
[a1,a2,a3,a4,a6] |
Generators |
[-374508:10705166:729] |
Generators of the group modulo torsion |
j |
221774710877/959570432 |
j-invariant |
L |
3.5685767877856 |
L(r)(E,1)/r! |
Ω |
0.12316618314542 |
Real period |
R |
7.2434183975083 |
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 |
26714o1 |
Quadratic twists by: -19 |