Atkin-Lehner |
2+ 5- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
57950x |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
698400 |
Modular degree for the optimal curve |
Δ |
-1869975208629305000 = -1 · 23 · 54 · 1910 · 61 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 2 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,229499,-50358152] |
[a1,a2,a3,a4,a6] |
Generators |
[1528696749580:-39177668942452:4057719875] |
Generators of the group modulo torsion |
j |
2138891761115927975/2991960333806888 |
j-invariant |
L |
3.9172064937805 |
L(r)(E,1)/r! |
Ω |
0.1401066173353 |
Real period |
R |
13.979377163913 |
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 |
57950be2 |
Quadratic twists by: 5 |