Atkin-Lehner |
2- 3+ 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
123114p |
Isogeny class |
Conductor |
123114 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10820160 |
Modular degree for the optimal curve |
Δ |
-2.4897679833532E+22 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 -3 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2837974,7366455677] |
[a1,a2,a3,a4,a6] |
Generators |
[17304936820:4053063200521:314432] |
Generators of the group modulo torsion |
j |
1253890828799/12350076966 |
j-invariant |
L |
5.6791414131504 |
L(r)(E,1)/r! |
Ω |
0.087743440972503 |
Real period |
R |
16.181099550592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123114w1 |
Quadratic twists by: 17 |