Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430cm |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
138083454810000 = 24 · 36 · 54 · 77 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16179,-550747] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:174:1] |
Generators of the group modulo torsion |
j |
5461074081/1610000 |
j-invariant |
L |
5.8772398129051 |
L(r)(E,1)/r! |
Ω |
0.43290587950968 |
Real period |
R |
1.6970316430198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008655 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11270k1 14490k1 |
Quadratic twists by: -3 -7 |