Atkin-Lehner |
2+ 3+ 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850b |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
33540000000 = 28 · 3 · 57 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4500,114000] |
[a1,a2,a3,a4,a6] |
Generators |
[89:610:1] |
Generators of the group modulo torsion |
j |
645196518721/2146560 |
j-invariant |
L |
5.1302295315965 |
L(r)(E,1)/r! |
Ω |
1.1701435010299 |
Real period |
R |
4.3842738305442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770bg1 |
Quadratic twists by: 5 |