Atkin-Lehner |
3+ 5- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
101745f |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
59520 |
Modular degree for the optimal curve |
Δ |
-3243121875 = -1 · 33 · 55 · 7 · 172 · 19 |
Discriminant |
Eigenvalues |
0 3+ 5- 7+ -4 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-762,8547] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:127:1] [-14:791:8] |
Generators of the group modulo torsion |
j |
-1812278181888/120115625 |
j-invariant |
L |
9.4041112395846 |
L(r)(E,1)/r! |
Ω |
1.3930071646592 |
Real period |
R |
0.3375471238846 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999547 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101745a1 |
Quadratic twists by: -3 |