Atkin-Lehner |
7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42959d |
Isogeny class |
Conductor |
42959 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6073920 |
Modular degree for the optimal curve |
Δ |
2.6786794195922E+23 |
Discriminant |
Eigenvalues |
-2 2 -1 7+ 2 5 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-19276076,-20994172700] |
[a1,a2,a3,a4,a6] |
Generators |
[-5928954571550175265:-240434135084920982836:4242951984870971] |
Generators of the group modulo torsion |
j |
2454693179355136/830115135479 |
j-invariant |
L |
4.1240563951988 |
L(r)(E,1)/r! |
Ω |
0.074022170385582 |
Real period |
R |
27.856899991695 |
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 |
42959c1 |
Quadratic twists by: -19 |