Atkin-Lehner |
2- 3+ 29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
63684b |
Isogeny class |
Conductor |
63684 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-2843617968 = -1 · 24 · 33 · 29 · 613 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 6 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,300,-1607] |
[a1,a2,a3,a4,a6] |
Generators |
[730:2319:125] |
Generators of the group modulo torsion |
j |
6912000000/6582449 |
j-invariant |
L |
8.1308357184388 |
L(r)(E,1)/r! |
Ω |
0.78178957417452 |
Real period |
R |
5.2001433549066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000346 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
63684d2 |
Quadratic twists by: -3 |