Atkin-Lehner |
2- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
100048k |
Isogeny class |
Conductor |
100048 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-8656953344 = -1 · 213 · 134 · 37 |
Discriminant |
Eigenvalues |
2- 0 -1 -4 3 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-863083,-308622054] |
[a1,a2,a3,a4,a6] |
Generators |
[16250:2068014:1] |
Generators of the group modulo torsion |
j |
-607782291676209/74 |
j-invariant |
L |
3.7678449523977 |
L(r)(E,1)/r! |
Ω |
0.078317067679085 |
Real period |
R |
8.0183563747036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977747 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12506d1 100048e1 |
Quadratic twists by: -4 13 |