Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
5175n |
Isogeny class |
Conductor |
5175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-818701171875 = -1 · 36 · 511 · 23 |
Discriminant |
Eigenvalues |
2 3- 5+ -1 -2 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1575,36281] |
[a1,a2,a3,a4,a6] |
Generators |
[210:2471:8] |
Generators of the group modulo torsion |
j |
37933056/71875 |
j-invariant |
L |
7.0776368409564 |
L(r)(E,1)/r! |
Ω |
0.61498513846588 |
Real period |
R |
2.877157673522 |
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 |
82800da1 575b1 1035e1 119025bo1 |
Quadratic twists by: -4 -3 5 -23 |