Atkin-Lehner |
3- 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
113775h |
Isogeny class |
Conductor |
113775 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
79680 |
Modular degree for the optimal curve |
Δ |
-28799296875 = -1 · 35 · 57 · 37 · 41 |
Discriminant |
Eigenvalues |
0 3- 5+ 3 0 2 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-133,-8231] |
[a1,a2,a3,a4,a6] |
Generators |
[23:37:1] |
Generators of the group modulo torsion |
j |
-16777216/1843155 |
j-invariant |
L |
7.7813618229379 |
L(r)(E,1)/r! |
Ω |
0.52295997668495 |
Real period |
R |
0.7439729787593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999876807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22755d1 |
Quadratic twists by: 5 |