Atkin-Lehner |
2+ 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
69966t |
Isogeny class |
Conductor |
69966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
95232 |
Modular degree for the optimal curve |
Δ |
1768180752 = 24 · 37 · 133 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 -6 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-324,-896] |
[a1,a2,a3,a4,a6] |
Generators |
[23:47:1] [-15:28:1] [-13:38:1] |
Generators of the group modulo torsion |
j |
2352637/1104 |
j-invariant |
L |
7.7068981525043 |
L(r)(E,1)/r! |
Ω |
1.177594766481 |
Real period |
R |
1.6361524294843 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23322r1 69966bj1 |
Quadratic twists by: -3 13 |