Atkin-Lehner |
3- 5- 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51615f |
Isogeny class |
Conductor |
51615 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43648 |
Modular degree for the optimal curve |
Δ |
-388815795 = -1 · 37 · 5 · 312 · 37 |
Discriminant |
Eigenvalues |
2 3- 5- 2 -2 7 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-507,4495] |
[a1,a2,a3,a4,a6] |
Generators |
[82:151:8] |
Generators of the group modulo torsion |
j |
-19770609664/533355 |
j-invariant |
L |
14.999744751044 |
L(r)(E,1)/r! |
Ω |
1.6851072418141 |
Real period |
R |
2.2253397853297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17205a1 |
Quadratic twists by: -3 |