Atkin-Lehner |
2- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344dv |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-334543669526528 = -1 · 215 · 79 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 11+ 4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11391,749087] |
[a1,a2,a3,a4,a6] |
Generators |
[169:2744:1] |
Generators of the group modulo torsion |
j |
4987939832056/10209462571 |
j-invariant |
L |
6.4821368724982 |
L(r)(E,1)/r! |
Ω |
0.37418646099385 |
Real period |
R |
0.96240445166466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999812744 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344dk1 56672bb1 |
Quadratic twists by: -4 8 |