Atkin-Lehner |
7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
623a |
Isogeny class |
Conductor |
623 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-10470761 = -1 · 76 · 89 |
Discriminant |
Eigenvalues |
1 -1 1 7- -4 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,28,157] |
[a1,a2,a3,a4,a6] |
Generators |
[12:43:1] |
Generators of the group modulo torsion |
j |
2294744759/10470761 |
j-invariant |
L |
2.2881851242035 |
L(r)(E,1)/r! |
Ω |
1.6365441157631 |
Real period |
R |
0.23303019068901 |
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 |
9968f1 39872q1 5607d1 15575e1 |
Quadratic twists by: -4 8 -3 5 |