Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520co |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
2553747288883200000 = 232 · 38 · 55 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1013772,-385282064] |
[a1,a2,a3,a4,a6] |
Generators |
[-568:2700:1] |
Generators of the group modulo torsion |
j |
602944222256641/13363200000 |
j-invariant |
L |
5.7153764055757 |
L(r)(E,1)/r! |
Ω |
0.15066080433439 |
Real period |
R |
1.8967695110011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520fz1 2610f1 27840bv1 |
Quadratic twists by: -4 8 -3 |