Atkin-Lehner |
2- 3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
64050cp |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
1920 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
8746604052480000000 = 220 · 36 · 57 · 74 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-533938,-48048508] |
[a1,a2,a3,a4,a6] |
Generators |
[-628:6614:1] |
Generators of the group modulo torsion |
j |
1077398156586248281/559782659358720 |
j-invariant |
L |
11.427147350783 |
L(r)(E,1)/r! |
Ω |
0.18695476612588 |
Real period |
R |
0.5093543742911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000253 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12810c1 |
Quadratic twists by: 5 |