Atkin-Lehner |
2+ 3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
94050ce |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
119956862520000 = 26 · 315 · 54 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12492,-102384] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:684:1] |
Generators of the group modulo torsion |
j |
473185740625/263279808 |
j-invariant |
L |
5.3706422277805 |
L(r)(E,1)/r! |
Ω |
0.48436328822575 |
Real period |
R |
2.7720113969988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31350cj1 94050di1 |
Quadratic twists by: -3 5 |