Atkin-Lehner |
2- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
43700g |
Isogeny class |
Conductor |
43700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
88560 |
Modular degree for the optimal curve |
Δ |
1092500000000 = 28 · 510 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -6 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20000,-1087500] |
[a1,a2,a3,a4,a6] |
Generators |
[-3649153436:1439209247:45118016] |
Generators of the group modulo torsion |
j |
353894400/437 |
j-invariant |
L |
6.1165339763496 |
L(r)(E,1)/r! |
Ω |
0.40148956096788 |
Real period |
R |
15.234602766766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43700m1 |
Quadratic twists by: 5 |