Atkin-Lehner |
7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
31423d |
Isogeny class |
Conductor |
31423 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2244 |
Modular degree for the optimal curve |
Δ |
-31423 = -1 · 7 · 672 |
Discriminant |
Eigenvalues |
-1 2 0 7- -3 -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,7,-2] |
[a1,a2,a3,a4,a6] |
Generators |
[8:21:1] |
Generators of the group modulo torsion |
j |
8375/7 |
j-invariant |
L |
4.6860090354618 |
L(r)(E,1)/r! |
Ω |
2.0480870709556 |
Real period |
R |
2.2879930750577 |
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 |
31423a1 |
Quadratic twists by: -67 |