Atkin-Lehner |
2+ 5+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
34450j |
Isogeny class |
Conductor |
34450 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2498560 |
Modular degree for the optimal curve |
Δ |
1.3206037263811E+21 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9703100,-11505502000] |
[a1,a2,a3,a4,a6] |
Generators |
[-15298:70283:8] |
Generators of the group modulo torsion |
j |
6465993709280560906177/84518638488387584 |
j-invariant |
L |
5.5767671876022 |
L(r)(E,1)/r! |
Ω |
0.085608203262123 |
Real period |
R |
6.5142906580193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1378b1 |
Quadratic twists by: 5 |