Atkin-Lehner |
2- 7+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
101738o |
Isogeny class |
Conductor |
101738 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-71675641856 = -1 · 215 · 7 · 132 · 432 |
Discriminant |
Eigenvalues |
2- -1 1 7+ -6 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1030,2439] |
[a1,a2,a3,a4,a6] |
Generators |
[73:-725:1] |
Generators of the group modulo torsion |
j |
715026814151/424116224 |
j-invariant |
L |
6.6278238934207 |
L(r)(E,1)/r! |
Ω |
0.66696178770658 |
Real period |
R |
0.33124455800973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101738l1 |
Quadratic twists by: 13 |