Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
36400bo |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-570752000000 = -1 · 213 · 56 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ -1 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1325,31250] |
[a1,a2,a3,a4,a6] |
Generators |
[525:6850:27] |
Generators of the group modulo torsion |
j |
4019679/8918 |
j-invariant |
L |
10.180060296449 |
L(r)(E,1)/r! |
Ω |
0.63913267265291 |
Real period |
R |
3.9819824318292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4550k1 1456k1 |
Quadratic twists by: -4 5 |