Atkin-Lehner |
2- 3- 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
61050cw |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-58021920000 = -1 · 28 · 34 · 54 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 0 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,912,-4608] |
[a1,a2,a3,a4,a6] |
Generators |
[72:-696:1] |
Generators of the group modulo torsion |
j |
134214193775/92835072 |
j-invariant |
L |
11.262527211798 |
L(r)(E,1)/r! |
Ω |
0.62956050650412 |
Real period |
R |
0.093174516648568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61050c1 |
Quadratic twists by: 5 |