Atkin-Lehner |
2- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103360co |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
5807687598080000 = 222 · 54 · 17 · 194 |
Discriminant |
Eigenvalues |
2- 0 5- 4 4 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44972,176336] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:1425:1] |
Generators of the group modulo torsion |
j |
38371643079489/22154570000 |
j-invariant |
L |
9.4792786061147 |
L(r)(E,1)/r! |
Ω |
0.36245275672255 |
Real period |
R |
1.6345714016244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038882 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103360bd1 25840v1 |
Quadratic twists by: -4 8 |