Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370d |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-29248940611440 = -1 · 24 · 34 · 5 · 11 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2162,-256412] |
[a1,a2,a3,a4,a6] |
Generators |
[277:4519:1] |
Generators of the group modulo torsion |
j |
46268279/1211760 |
j-invariant |
L |
2.9914472602032 |
L(r)(E,1)/r! |
Ω |
0.32059915540169 |
Real period |
R |
4.6654010420671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999759629 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610s1 |
Quadratic twists by: 17 |