Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
43400k |
Isogeny class |
Conductor |
43400 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
-3.3660880571836E+19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 2 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-311975,-287083750] |
[a1,a2,a3,a4,a6] |
Generators |
[1375:43400:1] |
Generators of the group modulo torsion |
j |
-839504640199248/8415220142959 |
j-invariant |
L |
6.2068868984115 |
L(r)(E,1)/r! |
Ω |
0.087884423143496 |
Real period |
R |
1.1770927232995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86800b1 1736b1 |
Quadratic twists by: -4 5 |