Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850dt |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
1492992 |
Modular degree for the optimal curve |
Δ |
-7780212570375000000 = -1 · 26 · 33 · 59 · 72 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1362230,626843397] |
[a1,a2,a3,a4,a6] |
Generators |
[815:-7989:1] |
Generators of the group modulo torsion |
j |
-662660286993086283/18441985352000 |
j-invariant |
L |
8.8305912189074 |
L(r)(E,1)/r! |
Ω |
0.23336524145855 |
Real period |
R |
0.52555856002339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000174 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850e3 11970j1 |
Quadratic twists by: -3 5 |