Atkin-Lehner |
7- 43- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128527d |
Isogeny class |
Conductor |
128527 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
860328 |
Modular degree for the optimal curve |
Δ |
-1369984336956823 = -1 · 710 · 433 · 61 |
Discriminant |
Eigenvalues |
1 2 -2 7- 6 1 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-99691,12203976] |
[a1,a2,a3,a4,a6] |
Generators |
[118668:7789198:27] |
Generators of the group modulo torsion |
j |
-387898389193/4849927 |
j-invariant |
L |
11.702700845284 |
L(r)(E,1)/r! |
Ω |
0.48279506479804 |
Real period |
R |
8.0798264448788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998711812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128527b1 |
Quadratic twists by: -7 |