Atkin-Lehner |
2- 5- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
56050r |
Isogeny class |
Conductor |
56050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
108800 |
Modular degree for the optimal curve |
Δ |
-665593750000 = -1 · 24 · 59 · 192 · 59 |
Discriminant |
Eigenvalues |
2- 2 5- 4 -2 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3013,73531] |
[a1,a2,a3,a4,a6] |
Generators |
[340:15173:64] |
Generators of the group modulo torsion |
j |
-1548816893/340784 |
j-invariant |
L |
15.301043961362 |
L(r)(E,1)/r! |
Ω |
0.86835594694343 |
Real period |
R |
4.4051762457783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999608 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56050i1 |
Quadratic twists by: 5 |