Atkin-Lehner |
2- 3- 5+ 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
119970bp |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
578389766400 = 28 · 37 · 52 · 312 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -2 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2093,-3819] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:192:1] |
Generators of the group modulo torsion |
j |
1390302566281/793401600 |
j-invariant |
L |
9.845175086967 |
L(r)(E,1)/r! |
Ω |
0.76398818969962 |
Real period |
R |
0.80540963016062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999613598 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39990d1 |
Quadratic twists by: -3 |