Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850fp |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
11760496272000000 = 210 · 37 · 56 · 72 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-79655,6922847] |
[a1,a2,a3,a4,a6] |
Generators |
[15:2386:1] |
Generators of the group modulo torsion |
j |
4906933498657/1032471552 |
j-invariant |
L |
10.42200040126 |
L(r)(E,1)/r! |
Ω |
0.38021570337831 |
Real period |
R |
0.22842297824931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19950x1 2394e1 |
Quadratic twists by: -3 5 |