Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810be |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
1108556068567449600 = 216 · 36 · 52 · 79 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5849989,-5446289488] |
[a1,a2,a3,a4,a6] |
Generators |
[-1394:1154:1] |
Generators of the group modulo torsion |
j |
188191720927962271801/9422571110400 |
j-invariant |
L |
4.4308452711066 |
L(r)(E,1)/r! |
Ω |
0.097076052066016 |
Real period |
R |
3.8035859315175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430fj1 4830e1 |
Quadratic twists by: -3 -7 |