Atkin-Lehner |
2+ 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
101738l |
Isogeny class |
Conductor |
101738 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
973440 |
Modular degree for the optimal curve |
Δ |
-345964633191317504 = -1 · 215 · 7 · 138 · 432 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- 6 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,174067,4488541] |
[a1,a2,a3,a4,a6] |
Generators |
[633339:27602779:343] |
Generators of the group modulo torsion |
j |
715026814151/424116224 |
j-invariant |
L |
3.5682117644111 |
L(r)(E,1)/r! |
Ω |
0.18498191725778 |
Real period |
R |
9.6447583630616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999936766 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101738o1 |
Quadratic twists by: 13 |