Atkin-Lehner |
2+ 3- 11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63954m |
Isogeny class |
Conductor |
63954 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-39989767496976 = -1 · 24 · 311 · 112 · 17 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 1 -5 11- -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1881,302157] |
[a1,a2,a3,a4,a6] |
Generators |
[57:741:1] [-38:437:1] |
Generators of the group modulo torsion |
j |
1009328859791/54855648144 |
j-invariant |
L |
7.2021947136486 |
L(r)(E,1)/r! |
Ω |
0.49109139893362 |
Real period |
R |
0.30553522934234 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999852 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21318r1 |
Quadratic twists by: -3 |