Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72072o |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
-5230697472 = -1 · 210 · 36 · 72 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,261,3078] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:36:1] |
Generators of the group modulo torsion |
j |
2634012/7007 |
j-invariant |
L |
7.7112400535947 |
L(r)(E,1)/r! |
Ω |
0.95342438418385 |
Real period |
R |
2.0219852201916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8008e1 |
Quadratic twists by: -3 |