Atkin-Lehner |
3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2925b |
Isogeny class |
Conductor |
2925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-685546875 = -1 · 33 · 59 · 13 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 -3 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1050,13156] |
[a1,a2,a3,a4,a6] |
Generators |
[40:187:1] |
Generators of the group modulo torsion |
j |
-303464448/1625 |
j-invariant |
L |
2.8104508892921 |
L(r)(E,1)/r! |
Ω |
1.6201492073635 |
Real period |
R |
0.21683580719902 |
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 |
46800bx1 2925a2 585d1 38025c1 |
Quadratic twists by: -4 -3 5 13 |