Atkin-Lehner |
2+ 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
107448d |
Isogeny class |
Conductor |
107448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4316166787961115648 = 210 · 312 · 118 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11586032,15182779548] |
[a1,a2,a3,a4,a6] |
Generators |
[-270870:21689976:125] |
Generators of the group modulo torsion |
j |
94813865536654372/2379261357 |
j-invariant |
L |
6.3773878041042 |
L(r)(E,1)/r! |
Ω |
0.22792398425767 |
Real period |
R |
6.9950819447447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024906 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9768o3 |
Quadratic twists by: -11 |