Atkin-Lehner |
2+ 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
80600r |
Isogeny class |
Conductor |
80600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
1249300000000 = 28 · 58 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ -3 5- -2 0 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5500,-147500] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:50:1] [-36:62:1] |
Generators of the group modulo torsion |
j |
183997440/12493 |
j-invariant |
L |
6.1148928288386 |
L(r)(E,1)/r! |
Ω |
0.55674907359063 |
Real period |
R |
0.45763381258194 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80600u1 |
Quadratic twists by: 5 |