Atkin-Lehner |
2- 3+ 5- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
93330ba |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
2288 |
Product of Tamagawa factors cp |
deg |
22257664 |
Modular degree for the optimal curve |
Δ |
-4.296245405184E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,40189753,299711601471] |
[a1,a2,a3,a4,a6] |
Generators |
[-3789:306894:1] |
Generators of the group modulo torsion |
j |
265892427737788344928520877/1591202001920000000000000 |
j-invariant |
L |
12.433774806763 |
L(r)(E,1)/r! |
Ω |
0.046446897623955 |
Real period |
R |
0.46800474635633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000807 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93330b1 |
Quadratic twists by: -3 |