Atkin-Lehner |
3+ 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
119925j |
Isogeny class |
Conductor |
119925 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1987200 |
Modular degree for the optimal curve |
Δ |
-89554951276171875 = -1 · 39 · 58 · 132 · 413 |
Discriminant |
Eigenvalues |
2 3+ 5- -4 -4 13+ 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,16875,14373281] |
[a1,a2,a3,a4,a6] |
Generators |
[-750:27671:8] |
Generators of the group modulo torsion |
j |
69120000/11647649 |
j-invariant |
L |
10.129217528158 |
L(r)(E,1)/r! |
Ω |
0.26182021758047 |
Real period |
R |
1.0746578651142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999108344 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119925i1 119925h1 |
Quadratic twists by: -3 5 |