Atkin-Lehner |
2- 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950bp |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-24478675200 = -1 · 28 · 33 · 52 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5193,142071] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-48:1] |
Generators of the group modulo torsion |
j |
-619503690867385/979147008 |
j-invariant |
L |
9.1517650547474 |
L(r)(E,1)/r! |
Ω |
1.1956248847553 |
Real period |
R |
0.23919931878848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61950be1 |
Quadratic twists by: 5 |