Atkin-Lehner |
3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
32025bh |
Isogeny class |
Conductor |
32025 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
14720 |
Modular degree for the optimal curve |
Δ |
-3151740375 = -1 · 310 · 53 · 7 · 61 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-361,3743] |
[a1,a2,a3,a4,a6] |
Generators |
[86:223:8] |
Generators of the group modulo torsion |
j |
-41457661181/25213923 |
j-invariant |
L |
8.3035204333269 |
L(r)(E,1)/r! |
Ω |
1.3138746250954 |
Real period |
R |
1.2639745489755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96075ci1 32025l1 |
Quadratic twists by: -3 5 |