Atkin-Lehner |
2+ 5+ 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
81650a |
Isogeny class |
Conductor |
81650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-52083769531250 = -1 · 2 · 510 · 232 · 712 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 3 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9049,104548] |
[a1,a2,a3,a4,a6] |
Generators |
[58:879:1] |
Generators of the group modulo torsion |
j |
8392559375/5333378 |
j-invariant |
L |
5.2410463360458 |
L(r)(E,1)/r! |
Ω |
0.39291259997789 |
Real period |
R |
3.3347405628319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940273 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81650v1 |
Quadratic twists by: 5 |