Atkin-Lehner |
2+ 5+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
57950s |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2090880 |
Modular degree for the optimal curve |
Δ |
-1.84725536768E+21 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 0 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2274050,-1590863500] |
[a1,a2,a3,a4,a6] |
Generators |
[175803559818560:7456606798087713:160989184000] |
Generators of the group modulo torsion |
j |
133175212518450575/189158949650432 |
j-invariant |
L |
3.693181848958 |
L(r)(E,1)/r! |
Ω |
0.078795992222231 |
Real period |
R |
23.435086892123 |
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 |
57950by1 |
Quadratic twists by: 5 |