Atkin-Lehner |
2- 3+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
102366z |
Isogeny class |
Conductor |
102366 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
6082560 |
Modular degree for the optimal curve |
Δ |
1.4215289228191E+22 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6114395,981156619] |
[a1,a2,a3,a4,a6] |
Generators |
[6251:-458086:1] |
Generators of the group modulo torsion |
j |
724997846257875/407669571584 |
j-invariant |
L |
12.679167840697 |
L(r)(E,1)/r! |
Ω |
0.1080354754793 |
Real period |
R |
1.2225119973185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102366d1 9306b1 |
Quadratic twists by: -3 -11 |