Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496cf |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-106996980118454272 = -1 · 230 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11564,-15745072] |
[a1,a2,a3,a4,a6] |
Generators |
[2653292:57194192:4913] |
Generators of the group modulo torsion |
j |
-5545233/3469312 |
j-invariant |
L |
6.2274568177752 |
L(r)(E,1)/r! |
Ω |
0.15052046557296 |
Real period |
R |
10.343206144875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34496bd1 8624w1 4928bb1 |
Quadratic twists by: -4 8 -7 |