Atkin-Lehner |
3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3825d |
Isogeny class |
Conductor |
3825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1120 |
Modular degree for the optimal curve |
Δ |
-7171875 = -1 · 33 · 56 · 17 |
Discriminant |
Eigenvalues |
2 3+ 5+ 2 -3 5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-75,281] |
[a1,a2,a3,a4,a6] |
j |
-110592/17 |
j-invariant |
L |
4.5496251541091 |
L(r)(E,1)/r! |
Ω |
2.2748125770545 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200dr1 3825b1 153a1 65025l1 |
Quadratic twists by: -4 -3 5 17 |