Atkin-Lehner |
3+ 5+ 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
101745a |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
178560 |
Modular degree for the optimal curve |
Δ |
-2364235846875 = -1 · 39 · 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,-6858,-230776] |
[a1,a2,a3,a4,a6] |
j |
-1812278181888/120115625 |
j-invariant |
L |
1.0452530525482 |
L(r)(E,1)/r! |
Ω |
0.26131318446583 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101745f1 |
Quadratic twists by: -3 |