Atkin-Lehner |
3- 5+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
101745y |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
22394880 |
Modular degree for the optimal curve |
Δ |
-9.3767117510948E+24 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 6 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-97421783,-398331827098] |
[a1,a2,a3,a4,a6] |
Generators |
[2742665430559487922:-333842737406177193008:134304254106931] |
Generators of the group modulo torsion |
j |
-140269872020350108676449321/12862430385589599609375 |
j-invariant |
L |
4.1303027281491 |
L(r)(E,1)/r! |
Ω |
0.023902527640534 |
Real period |
R |
28.799623169512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999880682 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33915p1 |
Quadratic twists by: -3 |