Atkin-Lehner |
2- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45968m |
Isogeny class |
Conductor |
45968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
42577920 |
Modular degree for the optimal curve |
Δ |
3.3627763354421E+27 |
Discriminant |
Eigenvalues |
2- -2 -4 -4 -2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-391947560,-1066014857036] |
[a1,a2,a3,a4,a6] |
j |
336811992790162430449/170089663019614208 |
j-invariant |
L |
0.14313073469599 |
L(r)(E,1)/r! |
Ω |
0.035782683667129 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5746d1 3536h1 |
Quadratic twists by: -4 13 |