Atkin-Lehner |
2- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72670p |
Isogeny class |
Conductor |
72670 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
89760 |
Modular degree for the optimal curve |
Δ |
-1297204918750 = -1 · 2 · 55 · 136 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 0 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2672,-13919] |
[a1,a2,a3,a4,a6] |
Generators |
[227144035774:2143627155487:6414120712] |
Generators of the group modulo torsion |
j |
437245479/268750 |
j-invariant |
L |
9.6123952857387 |
L(r)(E,1)/r! |
Ω |
0.49699695310228 |
Real period |
R |
19.340954156233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
430b1 |
Quadratic twists by: 13 |