Atkin-Lehner |
3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2925a |
Isogeny class |
Conductor |
2925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-4634296875 = -1 · 33 · 57 · 133 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 3 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,300,-2594] |
[a1,a2,a3,a4,a6] |
Generators |
[10:37:1] |
Generators of the group modulo torsion |
j |
7077888/10985 |
j-invariant |
L |
2.9031480161814 |
L(r)(E,1)/r! |
Ω |
0.72609558798232 |
Real period |
R |
0.9995750092108 |
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 |
46800by1 2925b2 585b1 38025d1 |
Quadratic twists by: -4 -3 5 13 |