Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
55470u |
Isogeny class |
Conductor |
55470 |
Conductor |
∏ cp |
212 |
Product of Tamagawa factors cp |
deg |
1974551040 |
Modular degree for the optimal curve |
Δ |
-3.1373938148232E+37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 4 -3 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,222305182134,266453215936879959] |
[a1,a2,a3,a4,a6] |
Generators |
[1121890237:1573216498391:2197] |
Generators of the group modulo torsion |
j |
192203697666261893287480365959/4963160303408775168000000000 |
j-invariant |
L |
8.3880562700722 |
L(r)(E,1)/r! |
Ω |
0.0049485425920946 |
Real period |
R |
7.9955466532562 |
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 |
1290h1 |
Quadratic twists by: -43 |