Atkin-Lehner |
2- 3+ 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642bn |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
1728 |
Product of Tamagawa factors cp |
deg |
68677632 |
Modular degree for the optimal curve |
Δ |
-1.6740157028081E+25 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 3 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2250670931,-41097476149261] |
[a1,a2,a3,a4,a6] |
Generators |
[154971:57644962:1] |
Generators of the group modulo torsion |
j |
-46697749703136622575352051309971/620005815854845638213632 |
j-invariant |
L |
14.807396046839 |
L(r)(E,1)/r! |
Ω |
0.010959511901781 |
Real period |
R |
7.0369789288735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011287 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
96642k2 |
Quadratic twists by: -3 |