Atkin-Lehner |
2- 5+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
80240i |
Isogeny class |
Conductor |
80240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
969555968000000 = 220 · 56 · 17 · 592 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93576,10884340] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:4096:1] [92:1750:1] |
Generators of the group modulo torsion |
j |
22123907597860489/236708000000 |
j-invariant |
L |
8.064531748981 |
L(r)(E,1)/r! |
Ω |
0.49720263895666 |
Real period |
R |
4.0549522051606 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10030a1 |
Quadratic twists by: -4 |