Atkin-Lehner |
2- 3+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
106176bp |
Isogeny class |
Conductor |
106176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-19235441001627648 = -1 · 226 · 38 · 7 · 792 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -6 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,34271,-6221375] |
[a1,a2,a3,a4,a6] |
Generators |
[1004473:9496116:6859] |
Generators of the group modulo torsion |
j |
16980538103927/73377384192 |
j-invariant |
L |
5.0931414209761 |
L(r)(E,1)/r! |
Ω |
0.19513023573522 |
Real period |
R |
6.5253104190414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999601893 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106176r1 26544t1 |
Quadratic twists by: -4 8 |