Atkin-Lehner |
2- 7- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10234l |
Isogeny class |
Conductor |
10234 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-67425112496 = -1 · 24 · 78 · 17 · 43 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 6 -3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2842,58455] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:359:1] |
Generators of the group modulo torsion |
j |
-2538665515223713/67425112496 |
j-invariant |
L |
4.7496112020325 |
L(r)(E,1)/r! |
Ω |
1.0967652087674 |
Real period |
R |
0.1353301042712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81872p1 92106z1 71638r1 |
Quadratic twists by: -4 -3 -7 |