Atkin-Lehner |
2+ 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72670h |
Isogeny class |
Conductor |
72670 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1100736 |
Modular degree for the optimal curve |
Δ |
-163136224914432640 = -1 · 27 · 5 · 1310 · 432 |
Discriminant |
Eigenvalues |
2+ -2 5- 5 -1 13+ 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,70807,18034668] |
[a1,a2,a3,a4,a6] |
j |
284791871/1183360 |
j-invariant |
L |
1.8454563489765 |
L(r)(E,1)/r! |
Ω |
0.2306820456614 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72670o1 |
Quadratic twists by: 13 |