Atkin-Lehner |
3+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
24225d |
Isogeny class |
Conductor |
24225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
863015625 = 32 · 56 · 17 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 2 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-238,-94] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:189:8] [-10:42:1] |
Generators of the group modulo torsion |
j |
95443993/55233 |
j-invariant |
L |
4.3910215322725 |
L(r)(E,1)/r! |
Ω |
1.3357827039423 |
Real period |
R |
1.6436137102664 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72675r1 969a1 |
Quadratic twists by: -3 5 |