Atkin-Lehner |
2+ 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736o |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
523351205912832 = 28 · 3 · 119 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11- -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-158308,24271744] |
[a1,a2,a3,a4,a6] |
Generators |
[3216:181016:1] |
Generators of the group modulo torsion |
j |
967473250000/1153977 |
j-invariant |
L |
3.6548988288548 |
L(r)(E,1)/r! |
Ω |
0.51956080682048 |
Real period |
R |
1.7586482655596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999501614 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49368bi1 8976d1 |
Quadratic twists by: -4 -11 |