Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
119646dd |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
29611008 |
Modular degree for the optimal curve |
Δ |
5.8001508653193E+24 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 0 -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51992744,-85985957653] |
[a1,a2,a3,a4,a6] |
Generators |
[-294495:19279061:125] |
Generators of the group modulo torsion |
j |
3056560671760057/1140565919616 |
j-invariant |
L |
7.7983047100262 |
L(r)(E,1)/r! |
Ω |
0.057998608361905 |
Real period |
R |
4.8020269849662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39882be1 119646cf1 |
Quadratic twists by: -3 17 |