Atkin-Lehner |
2+ 7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65366l |
Isogeny class |
Conductor |
65366 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
562464 |
Modular degree for the optimal curve |
Δ |
398677657131628 = 22 · 710 · 233 · 29 |
Discriminant |
Eigenvalues |
2+ 1 4 7- -2 5 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-68479,6824374] |
[a1,a2,a3,a4,a6] |
Generators |
[167:146:1] |
Generators of the group modulo torsion |
j |
125720594041/1411372 |
j-invariant |
L |
7.3483777680044 |
L(r)(E,1)/r! |
Ω |
0.53530993387503 |
Real period |
R |
2.2878888482024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996412 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65366c1 |
Quadratic twists by: -7 |