Atkin-Lehner |
2+ 3+ 13- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25194h |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
131040 |
Modular degree for the optimal curve |
Δ |
-378734841935892 = -1 · 22 · 37 · 135 · 17 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -1 13- 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-138280,19756516] |
[a1,a2,a3,a4,a6] |
Generators |
[222:136:1] |
Generators of the group modulo torsion |
j |
-292419770586111519625/378734841935892 |
j-invariant |
L |
3.1265151444371 |
L(r)(E,1)/r! |
Ω |
0.53417777299898 |
Real period |
R |
0.19509829264542 |
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 |
75582bq1 |
Quadratic twists by: -3 |