Atkin-Lehner |
2- 3+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
112338l |
Isogeny class |
Conductor |
112338 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
170352 |
Modular degree for the optimal curve |
Δ |
-1006318411776 = -1 · 213 · 39 · 792 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 1 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2266,-25163] |
[a1,a2,a3,a4,a6] |
Generators |
[25:203:1] |
Generators of the group modulo torsion |
j |
10479429/8192 |
j-invariant |
L |
6.879957455834 |
L(r)(E,1)/r! |
Ω |
0.48861924456238 |
Real period |
R |
0.54155408017718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000104131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112338b1 112338k1 |
Quadratic twists by: -3 -79 |