Atkin-Lehner |
3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
13725b |
Isogeny class |
Conductor |
13725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-25734375 = -1 · 33 · 56 · 61 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,70,72] |
[a1,a2,a3,a4,a6] |
Generators |
[0:8:1] |
Generators of the group modulo torsion |
j |
91125/61 |
j-invariant |
L |
2.9265959310843 |
L(r)(E,1)/r! |
Ω |
1.3310896343184 |
Real period |
R |
2.1986467745148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13725a1 549a1 |
Quadratic twists by: -3 5 |