Atkin-Lehner |
2- 3+ 5+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109650bz |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
2081636718750 = 2 · 36 · 59 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -2 5 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35088,-2543469] |
[a1,a2,a3,a4,a6] |
Generators |
[-56440:31339:512] |
Generators of the group modulo torsion |
j |
305759741604409/133224750 |
j-invariant |
L |
8.9410733215062 |
L(r)(E,1)/r! |
Ω |
0.34883591615572 |
Real period |
R |
3.2038964771924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020568 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21930p1 |
Quadratic twists by: 5 |