Atkin-Lehner |
2+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
117670b |
Isogeny class |
Conductor |
117670 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20643840 |
Modular degree for the optimal curve |
Δ |
5.7281613919564E+19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -6 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-168954823,845216166177] |
[a1,a2,a3,a4,a6] |
Generators |
[1369467408:-3714667079:185193] |
Generators of the group modulo torsion |
j |
112287744132511049929/12059022500 |
j-invariant |
L |
6.0384402240459 |
L(r)(E,1)/r! |
Ω |
0.15298371599596 |
Real period |
R |
9.8677825771189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057787 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2870c1 |
Quadratic twists by: 41 |